91901952 has 130 divisors (see below), whose sum is σ = 275528858. Its totient is φ = 30523392.

The previous prime is 91901939. The next prime is 91901959. The reversal of 91901952 is 25910919.

It can be written as a sum of positive squares in only one way, i.e., 65028096 + 26873856 = 8064^2 + 5184^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91901959) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331638 + ... + 331914.

Almost surely, 2^91901952 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 91901952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137764429).

91901952 is an abundant number, since it is smaller than the sum of its proper divisors (183626906).

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

91901952 is an equidigital number, since it uses as much as digits as its factorization.

91901952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 91901952 is about 9586.5505788057. The cubic root of 91901952 is about 451.2753156302.

The spelling of 91901952 in words is "ninety-one million, nine hundred one thousand, nine hundred fifty-two".