58972100 has 36 divisors (see below), whose sum is σ = 139605648. Its totient is φ = 21444000.

The previous prime is 58972097. The next prime is 58972141. The reversal of 58972100 is 127985.

It is a super-3 number, since 3×58972100³ (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25706 + ... + 27905.

Almost surely, 2^58972100 is an apocalyptic number.

58972100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

58972100 is an abundant number, since it is smaller than the sum of its proper divisors (80633548).

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

58972100 is a wasteful number, since it uses less digits than its factorization.

58972100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53636 (or 53629 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 58972100 is about 7679.3293978055. The cubic root of 58972100 is about 389.2382677313.

It can be divided in two parts, 5897 and 2100, that added together give a palindrome (7997).

The spelling of 58972100 in words is "fifty-eight million, nine hundred seventy-two thousand, one hundred".