97532500 has 60 divisors (see below), whose sum is σ = 229767076. Its totient is φ = 36000000.

The previous prime is 97532497. The next prime is 97532507. The reversal of 97532500 is 523579.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 87572164 + 9960336 = 9358^2 + 3156^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97532507) 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, 31000 + ... + 34000.

Almost surely, 2^97532500 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 97532500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114883538).

97532500 is an abundant number, since it is smaller than the sum of its proper divisors (132234576).

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

97532500 is a wasteful number, since it uses less digits than its factorization.

97532500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 97532500 is about 9875.8543934183. The cubic root of 97532500 is about 460.3093382451.

The spelling of 97532500 in words is "ninety-seven million, five hundred thirty-two thousand, five hundred".