91253952 has 140 divisors (see below), whose sum is σ = 280294080. Its totient is φ = 29320704.

The previous prime is 91253947. The next prime is 91253993. The reversal of 91253952 is 25935219.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 150033 + ... + 150639.

Almost surely, 2^91253952 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 91253952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140147040).

91253952 is an abundant number, since it is smaller than the sum of its proper divisors (189040128).

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

91253952 is a wasteful number, since it uses less digits than its factorization.

91253952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 641 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 91253952 is about 9552.6934421659. The cubic root of 91253952 is about 450.2121666183.

The spelling of 91253952 in words is "ninety-one million, two hundred fifty-three thousand, nine hundred fifty-two".