213307872 has 48 divisors (see below), whose sum is σ = 561375360. Its totient is φ = 70919552.

The previous prime is 213307841. The next prime is 213307873. The reversal of 213307872 is 278703312.

213307872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213307873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37573 + ... + 42875.

It is an arithmetic number, because the mean of its divisors is an integer number (11695320).

Almost surely, 2^213307872 is an apocalyptic number.

It is an amenable number.

213307872 is an abundant number, since it is smaller than the sum of its proper divisors (348067488).

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

213307872 is a wasteful number, since it uses less digits than its factorization.

213307872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5735 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 213307872 is about 14605.0632316331. The cubic root of 213307872 is about 597.4968605660.

The spelling of 213307872 in words is "two hundred thirteen million, three hundred seven thousand, eight hundred seventy-two".