97955800 has 48 divisors (see below), whose sum is σ = 228400560. Its totient is φ = 39070080.

The previous prime is 97955797. The next prime is 97955821. The reversal of 97955800 is 855979.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129022 + ... + 129778.

It is an arithmetic number, because the mean of its divisors is an integer number (4758345).

Almost surely, 2^97955800 is an apocalyptic number.

It is an amenable number.

97955800 is an abundant number, since it is smaller than the sum of its proper divisors (130444760).

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

97955800 is a wasteful number, since it uses less digits than its factorization.

97955800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 43.

The square root of 97955800 is about 9897.2622477127. The cubic root of 97955800 is about 460.9743054207.

The spelling of 97955800 in words is "ninety-seven million, nine hundred fifty-five thousand, eight hundred".