97409900 has 72 divisors (see below), whose sum is σ = 248171616. Its totient is φ = 32486400.

The previous prime is 97409867. The next prime is 97409909. The reversal of 97409900 is 990479.

It is not an unprimeable number, because it can be changed into a prime (97409909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24020 + ... + 27780.

It is an arithmetic number, because the mean of its divisors is an integer number (3446828).

Almost surely, 2^97409900 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 97409900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124085808).

97409900 is an abundant number, since it is smaller than the sum of its proper divisors (150761716).

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

97409900 is a wasteful number, since it uses less digits than its factorization.

97409900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3819 (or 3812 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 38.

The square root of 97409900 is about 9869.6453837005. The cubic root of 97409900 is about 460.1163851695.

The spelling of 97409900 in words is "ninety-seven million, four hundred nine thousand, nine hundred".