91854252 has 72 divisors (see below), whose sum is σ = 274528800. Its totient is φ = 25337088.

The previous prime is 91854251. The next prime is 91854277. The reversal of 91854252 is 25245819.

It is a super-2 number, since 2×91854252² = 16874407220959008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (91854251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1024 + ... + 13592.

It is an arithmetic number, because the mean of its divisors is an integer number (3812900).

Almost surely, 2^91854252 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 91854252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137264400).

91854252 is an abundant number, since it is smaller than the sum of its proper divisors (182674548).

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

91854252 is a wasteful number, since it uses less digits than its factorization.

91854252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12615 (or 12610 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 91854252 is about 9584.0623954563. The cubic root of 91854252 is about 451.1972267635.

The spelling of 91854252 in words is "ninety-one million, eight hundred fifty-four thousand, two hundred fifty-two".