91964 has 12 divisors (see below), whose sum is σ = 163464. Its totient is φ = 45264.

The previous prime is 91961. The next prime is 91967. The reversal of 91964 is 46919.

It is an interprime number because it is at equal distance from previous prime (91961) and next prime (91967).

It is a super-3 number, since 3×91964³ = 2333322736948032, which contains 333 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a cake number, because a cake can be divided into 91964 parts by 82 planar cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 194 + ... + 470.

It is an arithmetic number, because the mean of its divisors is an integer number (13622).

2⁹¹⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

91964 is a deficient number, since it is larger than the sum of its proper divisors (71500).

91964 is a wasteful number, since it uses less digits than its factorization.

91964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 362 counting only the distinct ones).

The product of its digits is 1944, while the sum is 29.

The square root of 91964 is about 303.2556677129. The cubic root of 91964 is about 45.1376852942.

The spelling of 91964 in words is "ninety-one thousand, nine hundred sixty-four".