97405776 has 120 divisors (see below), whose sum is σ = 298732616. Its totient is φ = 29445120.

The previous prime is 97405771. The next prime is 97405807. The reversal of 97405776 is 67750479.

97405776 is a `hidden beast` number, since 9 + 74 + 0 + 577 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13133376 + 84272400 = 3624^2 + 9180^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97405771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113766 + ... + 114618.

Almost surely, 2^97405776 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 97405776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149366308).

97405776 is an abundant number, since it is smaller than the sum of its proper divisors (201326840).

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

97405776 is a wasteful number, since it uses less digits than its factorization.

97405776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 97405776 is about 9869.4364580760. The cubic root of 97405776 is about 460.1098918297.

The spelling of 97405776 in words is "ninety-seven million, four hundred five thousand, seven hundred seventy-six".