97849800 has 72 divisors (see below), whose sum is σ = 328618290. Its totient is φ = 26092800.

The previous prime is 97849783. The next prime is 97849831. The reversal of 97849800 is 894879.

It can be written as a sum of positive squares in 3 ways, for example, as 76003524 + 21846276 = 8718^2 + 4674^2 .

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25381 + ... + 28980.

Almost surely, 2^97849800 is an apocalyptic number.

97849800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97849800 is an abundant number, since it is smaller than the sum of its proper divisors (230768490).

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

97849800 is a wasteful number, since it uses less digits than its factorization.

97849800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54383 (or 54371 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 97849800 is about 9891.9057820018. The cubic root of 97849800 is about 460.8079687930.

The spelling of 97849800 in words is "ninety-seven million, eight hundred forty-nine thousand, eight hundred".