97309800 has 144 divisors (see below), whose sum is σ = 373532640. Its totient is φ = 22239360.

The previous prime is 97309799. The next prime is 97309801. The reversal of 97309800 is 890379.

It is an interprime number because it is at equal distance from previous prime (97309799) and next prime (97309801).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (97309801) 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 35 ways as a sum of consecutive naturals, for example, 8739 + ... + 16461.

Almost surely, 2^97309800 is an apocalyptic number.

97309800 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 97309800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186766320).

97309800 is an abundant number, since it is smaller than the sum of its proper divisors (276222840).

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

97309800 is a wasteful number, since it uses less digits than its factorization.

97309800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7752 (or 7740 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 97309800 is about 9864.5729760593. The cubic root of 97309800 is about 459.9587234545.

The spelling of 97309800 in words is "ninety-seven million, three hundred nine thousand, eight hundred".