97723008 has 96 divisors (see below), whose sum is σ = 288206100. Its totient is φ = 31764480.

The previous prime is 97723007. The next prime is 97723033. The reversal of 97723008 is 80032779.

It can be written as a sum of positive squares in 2 ways, for example, as 77580864 + 20142144 = 8808^2 + 4488^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (97723007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46198 + ... + 48266.

Almost surely, 2^97723008 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 97723008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144103050).

97723008 is an abundant number, since it is smaller than the sum of its proper divisors (190483092).

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

97723008 is a wasteful number, since it uses less digits than its factorization.

97723008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 97723008 is about 9885.4948282825. The cubic root of 97723008 is about 460.6088472201.

The spelling of 97723008 in words is "ninety-seven million, seven hundred twenty-three thousand, eight".