97742304 has 72 divisors (see below), whose sum is σ = 303233112. Its totient is φ = 29617920.

The previous prime is 97742297. The next prime is 97742321. The reversal of 97742304 is 40324779.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12259 + ... + 18594.

It is an arithmetic number, because the mean of its divisors is an integer number (4211571).

Almost surely, 2^97742304 is an apocalyptic number.

It is an amenable number.

97742304 is an abundant number, since it is smaller than the sum of its proper divisors (205490808).

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

97742304 is a wasteful number, since it uses less digits than its factorization.

97742304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30880 (or 30869 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 97742304 is about 9886.4707555325. The cubic root of 97742304 is about 460.6391618941.

The spelling of 97742304 in words is "ninety-seven million, seven hundred forty-two thousand, three hundred four".