213276816 has 45 divisors (see below), whose sum is σ = 597369721. Its totient is φ = 71033856.

The previous prime is 213276803. The next prime is 213276827. The reversal of 213276816 is 618672312.

The square root of 213276816 is 14604.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 71571600 + 141705216 = 8460^2 + 11904^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 174640 + ... + 175856.

Almost surely, 2^213276816 is an apocalyptic number.

213276816 is the 14604-th square number.

It is an amenable number.

213276816 is an abundant number, since it is smaller than the sum of its proper divisors (384092905).

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

213276816 is an equidigital number, since it uses as much as digits as its factorization.

213276816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 1222 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The cubic root of 213276816 is about 597.4678621627.

Multiplying 213276816 by its sum of digits (36), we get a square (7677965376 = 87624²).

213276816 divided by its sum of digits (36) gives a square (5924356 = 2434²).

The spelling of 213276816 in words is "two hundred thirteen million, two hundred seventy-six thousand, eight hundred sixteen".