7551 has 6 divisors (see below), whose sum is σ = 10920. Its totient is φ = 5028.

The previous prime is 7549. The next prime is 7559. The reversal of 7551 is 1557.

It is a happy number.

7551 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 7551 - 2^{1} = 7549 is a prime.

7551 is a lucky number.

It is a plaindrome in base 13.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 411 + ... + 428.

It is an arithmetic number, because the mean of its divisors is an integer number (1820).

7551 is a deficient number, since it is larger than the sum of its proper divisors (3369).

7551 is a wasteful number, since it uses less digits than its factorization.

7551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 842 counting only the distinct ones).

The product of its digits is 175, while the sum is 18.

The square root of 7551 is about 86.8964901478. The cubic root of 7551 is about 19.6186065154.

Adding to 7551 its sum of digits (18), we get a square (7569 = 87^{2}).

The spelling of 7551 in words is "seven thousand, five hundred fifty-one".

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