97645500 has 120 divisors (see below), whose sum is σ = 318702384. Its totient is φ = 26028000.

The previous prime is 97645489. The next prime is 97645507. The reversal of 97645500 is 554679.

97645500 is a `hidden beast` number, since 9 + 7 + 645 + 5 + 0 + 0 = 666.

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 (97645507) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 39295 + ... + 41705.

Almost surely, 2^97645500 is an apocalyptic number.

97645500 is a gapful number since it is divisible by the number (90) 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 97645500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159351192).

97645500 is an abundant number, since it is smaller than the sum of its proper divisors (221056884).

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

97645500 is a wasteful number, since it uses less digits than its factorization.

97645500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2421 counting only the distinct ones).

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

The square root of 97645500 is about 9881.5737612994. The cubic root of 97645500 is about 460.4870392855.

The spelling of 97645500 in words is "ninety-seven million, six hundred forty-five thousand, five hundred".