97872164 has 24 divisors (see below), whose sum is σ = 185014200. Its totient is φ = 45033984.

The previous prime is 97872163. The next prime is 97872197. The reversal of 97872164 is 46127879.

It can be written as a sum of positive squares in 4 ways, for example, as 31449664 + 66422500 = 5608^2 + 8150^2 .

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (97872163) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15452 + ... + 20844.

It is an arithmetic number, because the mean of its divisors is an integer number (7708925).

Almost surely, 2^97872164 is an apocalyptic number.

It is an amenable number.

97872164 is a deficient number, since it is larger than the sum of its proper divisors (87142036).

97872164 is a wasteful number, since it uses less digits than its factorization.

97872164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5759 (or 5757 counting only the distinct ones).

The product of its digits is 169344, while the sum is 44.

The square root of 97872164 is about 9893.0361365963. The cubic root of 97872164 is about 460.8430726781.

The spelling of 97872164 in words is "ninety-seven million, eight hundred seventy-two thousand, one hundred sixty-four".