213862900 has 18 divisors (see below), whose sum is σ = 464082710. Its totient is φ = 85545120.

The previous prime is 213862877. The next prime is 213862919. The reversal of 213862900 is 9268312.

213862900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 18198756 + 195664144 = 4266^2 + 13988^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1069215 + ... + 1069414.

Almost surely, 2^213862900 is an apocalyptic number.

213862900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213862900 is an abundant number, since it is smaller than the sum of its proper divisors (250219810).

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

213862900 is a wasteful number, since it uses less digits than its factorization.

213862900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138643 (or 2138636 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 213862900 is about 14624.0521060341. The cubic root of 213862900 is about 598.0146415359.

The spelling of 213862900 in words is "two hundred thirteen million, eight hundred sixty-two thousand, nine hundred".