97402500 has 300 divisors, whose sum is σ = 351921724. Its totient is φ = 23328000.

The previous prime is 97402489. The next prime is 97402517. The reversal of 97402500 is 520479.

97402500 = 16³ + 17³ + ... + 140³.

It can be written as a sum of positive squares in 10 ways, for example, as 72182016 + 25220484 = 8496^2 + 5022^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 2632482 + ... + 2632518.

Almost surely, 2^97402500 is an apocalyptic number.

97402500 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97402500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175960862).

97402500 is an abundant number, since it is smaller than the sum of its proper divisors (254519224).

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

97402500 is a wasteful number, since it uses less digits than its factorization.

97402500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 97402500 is about 9869.2704897576. The cubic root of 97402500 is about 460.1047335562.

Adding to 97402500 its reverse (520479), we get a palindrome (97922979).

The spelling of 97402500 in words is "ninety-seven million, four hundred two thousand, five hundred".