97272100 has 18 divisors (see below), whose sum is σ = 211080674. Its totient is φ = 38908800.

The previous prime is 97272047. The next prime is 97272103. The reversal of 97272100 is 127279.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 24920064 + 72352036 = 4992^2 + 8506^2 .

It is a super-2 number, since 2×97272100² = 18923722876820000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97272103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 486261 + ... + 486460.

Almost surely, 2^97272100 is an apocalyptic number.

It is an amenable number.

97272100 is an abundant number, since it is smaller than the sum of its proper divisors (113808574).

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

97272100 is a wasteful number, since it uses less digits than its factorization.

97272100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972735 (or 972728 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 97272100 is about 9862.6619124859. The cubic root of 97272100 is about 459.8993163385.

Adding to 97272100 its reverse (127279), we get a palindrome (97399379).

The spelling of 97272100 in words is "ninety-seven million, two hundred seventy-two thousand, one hundred".