97152 has 64 divisors (see below), whose sum is σ = 293760. Its totient is φ = 28160.

The previous prime is 97151. The next prime is 97157. The reversal of 97152 is 25179.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×97152² = 18877022208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4213 + ... + 4235.

It is an arithmetic number, because the mean of its divisors is an integer number (4590).

2⁹⁷¹⁵² is an apocalyptic number.

97152 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 97152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146880).

97152 is an abundant number, since it is smaller than the sum of its proper divisors (196608).

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

97152 is a wasteful number, since it uses less digits than its factorization.

97152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 39 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 97152 is about 311.6921558205. The cubic root of 97152 is about 45.9709962092.

The spelling of 97152 in words is "ninety-seven thousand, one hundred fifty-two".