97827264 has 140 divisors (see below), whose sum is σ = 294308784. Its totient is φ = 32126976.

The previous prime is 97827229. The next prime is 97827277. The reversal of 97827264 is 46272879.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 585709 + ... + 585875.

Almost surely, 2^97827264 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 97827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147154392).

97827264 is an abundant number, since it is smaller than the sum of its proper divisors (196481520).

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

97827264 is a wasteful number, since it uses less digits than its factorization.

97827264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 285 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 97827264 is about 9890.7666032517. The cubic root of 97827264 is about 460.7725895154.

The spelling of 97827264 in words is "ninety-seven million, eight hundred twenty-seven thousand, two hundred sixty-four".