214505316 has 27 divisors (see below), whose sum is σ = 542443993. Its totient is φ = 71472480.

The previous prime is 214505311. The next prime is 214505323. The reversal of 214505316 is 613505412.

The square root of 214505316 is 14646.

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., 20738916 + 193766400 = 4554^2 + 13920^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 214505316.

It is not an unprimeable number, because it can be changed into a prime (214505311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 86656 + ... + 89096.

Almost surely, 2^214505316 is an apocalyptic number.

214505316 is the 14646-th square number.

It is an amenable number.

214505316 is an abundant number, since it is smaller than the sum of its proper divisors (327938677).

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

214505316 is an equidigital number, since it uses as much as digits as its factorization.

214505316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4892 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The cubic root of 214505316 is about 598.6128287313.

Multiplying 214505316 by its product of nonzero digits (3600), we get a square (772219137600 = 878760²).

The spelling of 214505316 in words is "two hundred fourteen million, five hundred five thousand, three hundred sixteen".