91035952 has 80 divisors (see below), whose sum is σ = 215611200. Its totient is φ = 36347904.

The previous prime is 91035913. The next prime is 91035953. The reversal of 91035952 is 25953019.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (91035953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260674 + ... + 261022.

It is an arithmetic number, because the mean of its divisors is an integer number (2695140).

Almost surely, 2^91035952 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 91035952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107805600).

91035952 is an abundant number, since it is smaller than the sum of its proper divisors (124575248).

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

91035952 is a wasteful number, since it uses less digits than its factorization.

91035952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 34.

The square root of 91035952 is about 9541.2762249083. The cubic root of 91035952 is about 449.8533711574.

The spelling of 91035952 in words is "ninety-one million, thirty-five thousand, nine hundred fifty-two".