97120188 has 96 divisors (see below), whose sum is σ = 284256000. Its totient is φ = 28405440.

The previous prime is 97120181. The next prime is 97120207. The reversal of 97120188 is 88102179.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97120181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33043 + ... + 35861.

It is an arithmetic number, because the mean of its divisors is an integer number (2961000).

Almost surely, 2^97120188 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 97120188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142128000).

97120188 is an abundant number, since it is smaller than the sum of its proper divisors (187135812).

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

97120188 is a wasteful number, since it uses less digits than its factorization.

97120188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 97120188 is about 9854.9575341551. The cubic root of 97120188 is about 459.6597799383.

Subtracting from 97120188 its reverse (88102179), we obtain a square (9018009 = 3003²).

The spelling of 97120188 in words is "ninety-seven million, one hundred twenty thousand, one hundred eighty-eight".