91355364 has 81 divisors (see below), whose sum is σ = 243928867. Its totient is φ = 29935656.

The previous prime is 91355351. The next prime is 91355377. The reversal of 91355364 is 46355319.

The square root of 91355364 is 9558.

It is a perfect power (a square), and thus also a powerful number.

91355364 is a `hidden beast` number, since 91 + 35 + 536 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (91355351) and next prime (91355377).

It is a tau number, because it is divible by the number of its divisors (81).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1548367 + ... + 1548425.

Almost surely, 2^91355364 is an apocalyptic number.

91355364 is the 9558-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91355364

91355364 is an abundant number, since it is smaller than the sum of its proper divisors (152573503).

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

91355364 is an frugal number, since it uses more digits than its factorization.

91355364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 64 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The cubic root of 91355364 is about 450.3788809088.

Multiplying 91355364 by its sum of digits (36), we get a square (3288793104 = 57348²).

91355364 divided by its sum of digits (36) gives a square (2537649 = 1593²).

It can be divided in two parts, 91355 and 364, that added together give a palindrome (91719).

The spelling of 91355364 in words is "ninety-one million, three hundred fifty-five thousand, three hundred sixty-four".