213813864 has 64 divisors (see below), whose sum is σ = 647928000. Its totient is φ = 64791360.

The previous prime is 213813841. The next prime is 213813871. The reversal of 213813864 is 468318312.

213813864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213813864² = 91432736877220992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42619 + ... + 47370.

It is an arithmetic number, because the mean of its divisors is an integer number (10123875).

Almost surely, 2^213813864 is an apocalyptic number.

213813864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213813864 is an abundant number, since it is smaller than the sum of its proper divisors (434114136).

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

213813864 is a wasteful number, since it uses less digits than its factorization.

213813864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90015 (or 90005 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 213813864 is about 14622.3754568128. The cubic root of 213813864 is about 597.9689323651.

The spelling of 213813864 in words is "two hundred thirteen million, eight hundred thirteen thousand, eight hundred sixty-four".