97892172 has 96 divisors (see below), whose sum is σ = 299479040. Its totient is φ = 27060480.

The previous prime is 97892167. The next prime is 97892177. The reversal of 97892172 is 27129879.

It is an interprime number because it is at equal distance from previous prime (97892167) and next prime (97892177).

It is not an unprimeable number, because it can be changed into a prime (97892177) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21348 + ... + 25524.

Almost surely, 2^97892172 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 97892172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149739520).

97892172 is an abundant number, since it is smaller than the sum of its proper divisors (201586868).

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

97892172 is a wasteful number, since it uses less digits than its factorization.

97892172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4228 (or 4220 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 97892172 is about 9894.0473012817. The cubic root of 97892172 is about 460.8744739113.

The spelling of 97892172 in words is "ninety-seven million, eight hundred ninety-two thousand, one hundred seventy-two".