92097152 has 128 divisors (see below), whose sum is σ = 226195200. Its totient is φ = 36495360.

The previous prime is 92097151. The next prime is 92097157. The reversal of 92097152 is 25179029.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×92097152² = 16963770813022208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (92097151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 844874 + ... + 844982.

It is an arithmetic number, because the mean of its divisors is an integer number (1767150).

Almost surely, 2^92097152 is an apocalyptic number.

92097152 is a gapful number since it is divisible by the number (92) 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 92097152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113097600).

92097152 is an abundant number, since it is smaller than the sum of its proper divisors (134098048).

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

92097152 is a wasteful number, since it uses less digits than its factorization.

92097152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 92097152 is about 9596.7261084184. The cubic root of 92097152 is about 451.5945930272.

It can be divided in two parts, 9209 and 7152, that added together give a palindrome (16361).

The spelling of 92097152 in words is "ninety-two million, ninety-seven thousand, one hundred fifty-two".