54316900 has 81 divisors (see below), whose sum is σ = 131519577. Its totient is φ = 19456800.

The previous prime is 54316897. The next prime is 54316903. The reversal of 54316900 is 961345.

The square root of 54316900 is 7370.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (54316897) and next prime (54316903).

It can be written as a sum of positive squares in only one way, i.e., 19554084 + 34762816 = 4422^2 + 5896^2 .

It is a super-2 number, since 2×54316900² = 5900651251220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54316903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 810667 + ... + 810733.

Almost surely, 2^54316900 is an apocalyptic number.

54316900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54316900 is the 7370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54316900

54316900 is an abundant number, since it is smaller than the sum of its proper divisors (77202677).

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

54316900 is a wasteful number, since it uses less digits than its factorization.

54316900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The cubic root of 54316900 is about 378.7142602982.

The spelling of 54316900 in words is "fifty-four million, three hundred sixteen thousand, nine hundred".