91913952 has 96 divisors (see below), whose sum is σ = 265531392. Its totient is φ = 27661824.

The previous prime is 91913947. The next prime is 91913971. The reversal of 91913952 is 25931919.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 91913952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57873 + ... + 59439.

It is an arithmetic number, because the mean of its divisors is an integer number (2765952).

Almost surely, 2^91913952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91913952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132765696).

91913952 is an abundant number, since it is smaller than the sum of its proper divisors (173617440).

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

91913952 is a wasteful number, since it uses less digits than its factorization.

91913952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1632 counting only the distinct ones).

The product of its digits is 21870, while the sum is 39.

The square root of 91913952 is about 9587.1764352180. The cubic root of 91913952 is about 451.2949563741.

The spelling of 91913952 in words is "ninety-one million, nine hundred thirteen thousand, nine hundred fifty-two".