97517952 has 256 divisors, whose sum is σ = 342720000. Its totient is φ = 26707968.

The previous prime is 97517941. The next prime is 97517963. The reversal of 97517952 is 25971579.

It is an interprime number because it is at equal distance from previous prime (97517941) and next prime (97517963).

It is a junction number, because it is equal to n+sod(n) for n = 97517898 and 97517907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701499 + ... + 701637.

It is an arithmetic number, because the mean of its divisors is an integer number (1338750).

Almost surely, 2^97517952 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 97517952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171360000).

97517952 is an abundant number, since it is smaller than the sum of its proper divisors (245202048).

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

97517952 is a wasteful number, since it uses less digits than its factorization.

97517952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 180 counting only the distinct ones).

The product of its digits is 198450, while the sum is 45.

The square root of 97517952 is about 9875.1178220819. The cubic root of 97517952 is about 460.2864504445.

The spelling of 97517952 in words is "ninety-seven million, five hundred seventeen thousand, nine hundred fifty-two".