90657 has 12 divisors (see below), whose sum is σ = 149760. Its totient is φ = 51768.

The previous prime is 90647. The next prime is 90659. The reversal of 90657 is 75609.

90657 is a `hidden beast` number, since 9 + 0 + 657 = 666.

90657 is nontrivially palindromic in base 11.

It is not a de Polignac number, because 90657 - 2⁴ = 90641 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 90657.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90657.

It is not an unprimeable number, because it can be changed into a prime (90659) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 657 + ... + 782.

It is an arithmetic number, because the mean of its divisors is an integer number (12480).

2⁹⁰⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

90657 is a deficient number, since it is larger than the sum of its proper divisors (59103).

90657 is a wasteful number, since it uses less digits than its factorization.

90657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 90657 is about 301.0930088860. The cubic root of 90657 is about 44.9228307030.

It can be divided in two parts, 90 and 657, that added together give a palindrome (747).

The spelling of 90657 in words is "ninety thousand, six hundred fifty-seven".