97085800 has 96 divisors (see below), whose sum is σ = 266411520. Its totient is φ = 32198400.

The previous prime is 97085789. The next prime is 97085809. The reversal of 97085800 is 858079.

It is a self number, because there is not a number n which added to its sum of digits gives 97085800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97085809) 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 23 ways as a sum of consecutive naturals, for example, 42282 + ... + 44518.

It is an arithmetic number, because the mean of its divisors is an integer number (2775120).

Almost surely, 2^97085800 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 97085800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133205760).

97085800 is an abundant number, since it is smaller than the sum of its proper divisors (169325720).

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

97085800 is a wasteful number, since it uses less digits than its factorization.

97085800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 97085800 is about 9853.2126740470. The cubic root of 97085800 is about 459.6055219211.

The spelling of 97085800 in words is "ninety-seven million, eighty-five thousand, eight hundred".