97809408 has 66 divisors (see below), whose sum is σ = 282449154. Its totient is φ = 32600064.

The previous prime is 97809407. The next prime is 97809421. The reversal of 97809408 is 80490879.

It can be written as a sum of positive squares in only one way, i.e., 97772544 + 36864 = 9888^2 + 192^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97809403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3910 + ... + 14522.

Almost surely, 2^97809408 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 97809408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141224577).

97809408 is an abundant number, since it is smaller than the sum of its proper divisors (184639746).

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

97809408 is a wasteful number, since it uses less digits than its factorization.

97809408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10639 (or 10618 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 97809408 is about 9889.8639019958. The cubic root of 97809408 is about 460.7445535138.

The spelling of 97809408 in words is "ninety-seven million, eight hundred nine thousand, four hundred eight".