91968315 has 16 divisors (see below), whose sum is σ = 149644800. Its totient is φ = 48217952.

The previous prime is 91968307. The next prime is 91968323. The reversal of 91968315 is 51386919.

It is an interprime number because it is at equal distance from previous prime (91968307) and next prime (91968323).

It is a cyclic number.

It is not a de Polignac number, because 91968315 - 2³ = 91968307 is a prime.

It is a super-3 number, since 3×91968315³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51075 + ... + 52844.

It is an arithmetic number, because the mean of its divisors is an integer number (9352800).

Almost surely, 2^91968315 is an apocalyptic number.

91968315 is a deficient number, since it is larger than the sum of its proper divisors (57676485).

91968315 is a wasteful number, since it uses less digits than its factorization.

91968315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103986.

The product of its digits is 58320, while the sum is 42.

The square root of 91968315 is about 9590.0112095868. The cubic root of 91968315 is about 451.3839124462.

The spelling of 91968315 in words is "ninety-one million, nine hundred sixty-eight thousand, three hundred fifteen".