91312 has 20 divisors (see below), whose sum is σ = 190960. Its totient is φ = 42048.

The previous prime is 91309. The next prime is 91331. The reversal of 91312 is 21319.

91312 = T₄₈ + T₄₉ + ... + T₈₆.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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, 12 + ... + 427.

It is an arithmetic number, because the mean of its divisors is an integer number (9548).

2⁹¹³¹² is an apocalyptic number.

It is an amenable number.

91312 is an abundant number, since it is smaller than the sum of its proper divisors (99648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95480).

91312 is a wasteful number, since it uses less digits than its factorization.

91312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its digits is 54, while the sum is 16.

The square root of 91312 is about 302.1787550441. The cubic root of 91312 is about 45.0307608609.

The spelling of 91312 in words is "ninety-one thousand, three hundred twelve".