91657 has 4 divisors (see below), whose sum is σ = 92416. Its totient is φ = 90900.

The previous prime is 91639. The next prime is 91673. The reversal of 91657 is 75619.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 91657 - 2⁷ = 91529 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (91457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 153 + ... + 454.

It is an arithmetic number, because the mean of its divisors is an integer number (23104).

2⁹¹⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

91657 is a deficient number, since it is larger than the sum of its proper divisors (759).

91657 is a wasteful number, since it uses less digits than its factorization.

91657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758.

The product of its digits is 1890, while the sum is 28.

The square root of 91657 is about 302.7490710143. The cubic root of 91657 is about 45.0874021480.

The spelling of 91657 in words is "ninety-one thousand, six hundred fifty-seven".