97804512 has 144 divisors (see below), whose sum is σ = 303252768. Its totient is φ = 29721600.

The previous prime is 97804507. The next prime is 97804529. The reversal of 97804512 is 21540879.

It is a tau number, because it is divible by the number of its divisors (144).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565258 + ... + 565430.

It is an arithmetic number, because the mean of its divisors is an integer number (2105922).

Almost surely, 2^97804512 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 97804512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151626384).

97804512 is an abundant number, since it is smaller than the sum of its proper divisors (205448256).

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

97804512 is a wasteful number, since it uses less digits than its factorization.

97804512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 97804512 is about 9889.6163727417. The cubic root of 97804512 is about 460.7368656270.

It can be divided in two parts, 97 and 804512, that added together give a square (804609 = 897²).

The spelling of 97804512 in words is "ninety-seven million, eight hundred four thousand, five hundred twelve".