97652352 has 128 divisors (see below), whose sum is σ = 314029440. Its totient is φ = 26247168.

The previous prime is 97652351. The next prime is 97652353. The reversal of 97652352 is 25325679.

It is an interprime number because it is at equal distance from previous prime (97652351) and next prime (97652353).

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

It is a super-2 number, since 2×97652352² = 19071963702263808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 97652352.

It is not an unprimeable number, because it can be changed into a prime (97652351) 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, 44628 + ... + 46764.

It is an arithmetic number, because the mean of its divisors is an integer number (2453355).

Almost surely, 2^97652352 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 97652352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157014720).

97652352 is an abundant number, since it is smaller than the sum of its proper divisors (216377088).

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

97652352 is a wasteful number, since it uses less digits than its factorization.

97652352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2166 counting only the distinct ones).

The product of its digits is 113400, while the sum is 39.

The square root of 97652352 is about 9881.9204611250. The cubic root of 97652352 is about 460.4978101638.

The spelling of 97652352 in words is "ninety-seven million, six hundred fifty-two thousand, three hundred fifty-two".