54997200 has 90 divisors (see below), whose sum is σ = 190868054. Its totient is φ = 14664960.

The previous prime is 54997181. The next prime is 54997231. The reversal of 54997200 is 279945.

54997200 is a `hidden beast` number, since 549 + 97 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 144 + 54997056 = 12^2 + 7416^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 17 ways as a sum of consecutive naturals, for example, 4039 + ... + 11238.

Almost surely, 2^54997200 is an apocalyptic number.

54997200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54997200 is an abundant number, since it is smaller than the sum of its proper divisors (135870854).

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

54997200 is a wasteful number, since it uses less digits than its factorization.

54997200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15301 (or 15287 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 54997200 is about 7416.0097087315. The cubic root of 54997200 is about 380.2887924715.

The spelling of 54997200 in words is "fifty-four million, nine hundred ninety-seven thousand, two hundred".