213997920 has 48 divisors (see below), whose sum is σ = 674094960. Its totient is φ = 57065984.

The previous prime is 213997907. The next prime is 213997939. The reversal of 213997920 is 29799312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222435 + ... + 223394.

It is an arithmetic number, because the mean of its divisors is an integer number (14043645).

Almost surely, 2^213997920 is an apocalyptic number.

213997920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213997920 is an abundant number, since it is smaller than the sum of its proper divisors (460097040).

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

213997920 is a wasteful number, since it uses less digits than its factorization.

213997920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445847 (or 445839 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 213997920 is about 14628.6677452186. The cubic root of 213997920 is about 598.1404650590.

The spelling of 213997920 in words is "two hundred thirteen million, nine hundred ninety-seven thousand, nine hundred twenty".