97656500 has 48 divisors (see below), whose sum is σ = 225847440. Its totient is φ = 36761600.

The previous prime is 97656499. The next prime is 97656509. The reversal of 97656500 is 565679.

It can be written as a sum of positive squares in 8 ways, for example, as 31494544 + 66161956 = 5612^2 + 8134^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97656509) 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, 2756 + ... + 14244.

It is an arithmetic number, because the mean of its divisors is an integer number (4705155).

Almost surely, 2^97656500 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 97656500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112923720).

97656500 is an abundant number, since it is smaller than the sum of its proper divisors (128190940).

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

97656500 is a wasteful number, since it uses less digits than its factorization.

97656500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11525 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 38.

The square root of 97656500 is about 9882.1303371287. The cubic root of 97656500 is about 460.5043302931.

The spelling of 97656500 in words is "ninety-seven million, six hundred fifty-six thousand, five hundred".