7657 has 8 divisors (see below), whose sum is σ = 8960. Its totient is φ = 6480.

The previous prime is 7649. The next prime is 7669. The reversal of 7657 is 7567.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7657 - 2³ = 7649 is a prime.

It is the 88-th Hogben number.

It is a Duffinian number.

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (7607) by changing a digit.

It is a nontrivial repunit in base 87.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232 + ... + 262.

It is an arithmetic number, because the mean of its divisors is an integer number (1120).

2⁷⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

7657 is a deficient number, since it is larger than the sum of its proper divisors (1303).

7657 is a wasteful number, since it uses less digits than its factorization.

7657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63.

The product of its digits is 1470, while the sum is 25.

The square root of 7657 is about 87.5042856093. The cubic root of 7657 is about 19.7099814570.

The spelling of 7657 in words is "seven thousand, six hundred fifty-seven".