91505952 has 36 divisors (see below), whose sum is σ = 260220870. Its totient is φ = 30501888.

The previous prime is 91505929. The next prime is 91505959. The reversal of 91505952 is 25950519.

It can be written as a sum of positive squares in only one way, i.e., 76108176 + 15397776 = 8724^2 + 3924^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (91505959) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 158577 + ... + 159152.

Almost surely, 2^91505952 is an apocalyptic number.

It is an amenable number.

91505952 is an abundant number, since it is smaller than the sum of its proper divisors (168714918).

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

91505952 is a wasteful number, since it uses less digits than its factorization.

91505952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317745 (or 317734 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 36.

The square root of 91505952 is about 9565.8743458191. The cubic root of 91505952 is about 450.6262096583.

The spelling of 91505952 in words is "ninety-one million, five hundred five thousand, nine hundred fifty-two".