97085820 has 96 divisors (see below), whose sum is σ = 308206080. Its totient is φ = 22636800.

The previous prime is 97085819. The next prime is 97085837. The reversal of 97085820 is 2858079.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11545 + ... + 18095.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 2^97085820 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 97085820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154103040).

97085820 is an abundant number, since it is smaller than the sum of its proper divisors (211120260).

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

97085820 is a wasteful number, since it uses less digits than its factorization.

97085820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6595 (or 6593 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 97085820 is about 9853.2136889443. The cubic root of 97085820 is about 459.6055534812.

The spelling of 97085820 in words is "ninety-seven million, eighty-five thousand, eight hundred twenty".