213497920 has 28 divisors (see below), whose sum is σ = 508392684. Its totient is φ = 85399040.

The previous prime is 213497909. The next prime is 213497953. The reversal of 213497920 is 29794312.

It can be written as a sum of positive squares in 2 ways, for example, as 36288576 + 177209344 = 6024^2 + 13312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 213497920.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 333271 + ... + 333910.

Almost surely, 2^213497920 is an apocalyptic number.

213497920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213497920 is an abundant number, since it is smaller than the sum of its proper divisors (294894764).

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

213497920 is an equidigital number, since it uses as much as digits as its factorization.

213497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667198 (or 667188 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 213497920 is about 14611.5680198944. The cubic root of 213497920 is about 597.6742557638.

The spelling of 213497920 in words is "two hundred thirteen million, four hundred ninety-seven thousand, nine hundred twenty".