97517052 has 72 divisors (see below), whose sum is σ = 255200400. Its totient is φ = 31373568.

The previous prime is 97516999. The next prime is 97517081. The reversal of 97517052 is 25071579.

97517052 is a `hidden beast` number, since 97 + 517 + 0 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 97516998 and 97517016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238224 + ... + 238632.

It is an arithmetic number, because the mean of its divisors is an integer number (3544450).

Almost surely, 2^97517052 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 97517052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127600200).

97517052 is an abundant number, since it is smaller than the sum of its proper divisors (157683348).

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

97517052 is a wasteful number, since it uses less digits than its factorization.

97517052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 97517052 is about 9875.0722529002. The cubic root of 97517052 is about 460.2850344349.

The spelling of 97517052 in words is "ninety-seven million, five hundred seventeen thousand, fifty-two".