97685352 has 80 divisors (see below), whose sum is σ = 275996160. Its totient is φ = 32278176.

The previous prime is 97685323. The next prime is 97685353. The reversal of 97685352 is 25358679.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 97685298 and 97685307.

It is not an unprimeable number, because it can be changed into a prime (97685353) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 81703 + ... + 82889.

It is an arithmetic number, because the mean of its divisors is an integer number (3449952).

Almost surely, 2^97685352 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 97685352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137998080).

97685352 is an abundant number, since it is smaller than the sum of its proper divisors (178310808).

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

97685352 is a wasteful number, since it uses less digits than its factorization.

97685352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1319 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 97685352 is about 9883.5900360142. The cubic root of 97685352 is about 460.5496768656.

The spelling of 97685352 in words is "ninety-seven million, six hundred eighty-five thousand, three hundred fifty-two".