97512 has 32 divisors (see below), whose sum is σ = 259200. Its totient is φ = 30464.

The previous prime is 97511. The next prime is 97523. The reversal of 97512 is 21579.

97512 is nontrivially palindromic in base 14.

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

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (97511) 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, 289 + ... + 527.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2⁹⁷⁵¹² 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 97512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129600).

97512 is an abundant number, since it is smaller than the sum of its proper divisors (161688).

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

97512 is a wasteful number, since it uses less digits than its factorization.

97512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

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

The square root of 97512 is about 312.2691147072. The cubic root of 97512 is about 46.0277085739.

The spelling of 97512 in words is "ninety-seven thousand, five hundred twelve".