97180164 has 81 divisors (see below), whose sum is σ = 258709269. Its totient is φ = 30756960.

The previous prime is 97180157. The next prime is 97180207. The reversal of 97180164 is 46108179.

The square root of 97180164 is 9858.

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

It can be written as a sum of positive squares in only one way, i.e., 70056900 + 27123264 = 8370^2 + 5208^2 .

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

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, 1833562 + ... + 1833614.

Almost surely, 2^97180164 is an apocalyptic number.

97180164 is the 9858-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97180164

97180164 is an abundant number, since it is smaller than the sum of its proper divisors (161529105).

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

97180164 is a wasteful number, since it uses less digits than its factorization.

97180164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The cubic root of 97180164 is about 459.7543805307.

Multiplying 97180164 by its sum of digits (36), we get a square (3498485904 = 59148²).

97180164 divided by its sum of digits (36) gives a square (2699449 = 1643²).

It can be divided in two parts, 97180 and 164, that added together give a square (97344 = 312²).

The spelling of 97180164 in words is "ninety-seven million, one hundred eighty thousand, one hundred sixty-four".