96657 has 16 divisors (see below), whose sum is σ = 146880. Its totient is φ = 56000.

The previous prime is 96643. The next prime is 96661. The reversal of 96657 is 75669.

It is a cyclic number.

It is not a de Polignac number, because 96657 - 2⁸ = 96401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

96657 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 907 + ... + 1007.

It is an arithmetic number, because the mean of its divisors is an integer number (9180).

2⁹⁶⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

96657 is a deficient number, since it is larger than the sum of its proper divisors (50223).

96657 is a wasteful number, since it uses less digits than its factorization.

96657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144.

The product of its digits is 11340, while the sum is 33.

The square root of 96657 is about 310.8970890825. The cubic root of 96657 is about 45.8927874903.

It can be divided in two parts, 9 and 6657, that added together give a palindrome (6666).

The spelling of 96657 in words is "ninety-six thousand, six hundred fifty-seven".