97820900 has 18 divisors (see below), whose sum is σ = 212271570. Its totient is φ = 39128320.

The previous prime is 97820869. The next prime is 97820917. The reversal of 97820900 is 902879.

It can be written as a sum of positive squares in 3 ways, for example, as 246016 + 97574884 = 496^2 + 9878^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 489005 + ... + 489204.

It is an arithmetic number, because the mean of its divisors is an integer number (11792865).

Almost surely, 2^97820900 is an apocalyptic number.

It is an amenable number.

97820900 is an abundant number, since it is smaller than the sum of its proper divisors (114450670).

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

97820900 is a wasteful number, since it uses less digits than its factorization.

97820900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978223 (or 978216 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 97820900 is about 9890.4448838260. Note that the first 3 decimals coincide. The cubic root of 97820900 is about 460.7625976848.

The spelling of 97820900 in words is "ninety-seven million, eight hundred twenty thousand, nine hundred".