97274800 has 120 divisors (see below), whose sum is σ = 272924000. Its totient is φ = 33304320.

The previous prime is 97274791. The next prime is 97274803. The reversal of 97274800 is 847279.

It is a happy number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 97274800.

It is not an unprimeable number, because it can be changed into a prime (97274803) 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, 136846 + ... + 137554.

Almost surely, 2^97274800 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 97274800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136462000).

97274800 is an abundant number, since it is smaller than the sum of its proper divisors (175649200).

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

97274800 is a wasteful number, since it uses less digits than its factorization.

97274800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 97274800 is about 9862.7987914182. The cubic root of 97274800 is about 459.9035714698.

The spelling of 97274800 in words is "ninety-seven million, two hundred seventy-four thousand, eight hundred".