97952000 has 72 divisors (see below), whose sum is σ = 244090392. Its totient is φ = 39168000.

The previous prime is 97951991. The next prime is 97952027. The reversal of 97952000 is 25979.

It can be written as a sum of positive squares in 4 ways, for example, as 495616 + 97456384 = 704^2 + 9872^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30470 + ... + 33530.

Almost surely, 2^97952000 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 97952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122045196).

97952000 is an abundant number, since it is smaller than the sum of its proper divisors (146138392).

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

97952000 is an equidigital number, since it uses as much as digits as its factorization.

97952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 97952000 is about 9897.0702735709. The cubic root of 97952000 is about 460.9683444839.

Adding to 97952000 its reverse (25979), we get a palindrome (97977979).

The spelling of 97952000 in words is "ninety-seven million, nine hundred fifty-two thousand".