91057 has 8 divisors (see below), whose sum is σ = 98496. Its totient is φ = 83952.

The previous prime is 91033. The next prime is 91079. The reversal of 91057 is 75019.

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 91057 - 2¹¹ = 89009 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 91057.

It is not an unprimeable number, because it can be changed into a prime (91097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 798 + ... + 904.

It is an arithmetic number, because the mean of its divisors is an integer number (12312).

2⁹¹⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

91057 is a deficient number, since it is larger than the sum of its proper divisors (7439).

91057 is a wasteful number, since it uses less digits than its factorization.

91057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167.

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 91057 is about 301.7565243702. The cubic root of 91057 is about 44.9888037989.

The spelling of 91057 in words is "ninety-one thousand, fifty-seven".