97052256 has 144 divisors (see below), whose sum is σ = 327285504. Its totient is φ = 27713664.

The previous prime is 97052233. The next prime is 97052273. The reversal of 97052256 is 65225079.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 97052256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53541 + ... + 55323.

It is an arithmetic number, because the mean of its divisors is an integer number (2272816).

Almost surely, 2^97052256 is an apocalyptic number.

97052256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97052256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163642752).

97052256 is an abundant number, since it is smaller than the sum of its proper divisors (230233248).

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

97052256 is a wasteful number, since it uses less digits than its factorization.

97052256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 97052256 is about 9851.5103410594. The cubic root of 97052256 is about 459.5525832368.

The spelling of 97052256 in words is "ninety-seven million, fifty-two thousand, two hundred fifty-six".