214352313 has 12 divisors (see below), whose sum is σ = 332465040. Its totient is φ = 122486952.

The previous prime is 214352297. The next prime is 214352329. The reversal of 214352313 is 313253412.

214352313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214352297) and next prime (214352329).

It is not a de Polignac number, because 214352313 - 2⁴ = 214352297 is a prime.

It is a super-4 number, since 4×214352313⁴ (a number of 34 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (214352393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 728943 + ... + 729236.

It is an arithmetic number, because the mean of its divisors is an integer number (27705420).

Almost surely, 2^214352313 is an apocalyptic number.

It is an amenable number.

214352313 is a deficient number, since it is larger than the sum of its proper divisors (118112727).

214352313 is a wasteful number, since it uses less digits than its factorization.

214352313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458196 (or 1458189 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 214352313 is about 14640.7756966631. The cubic root of 214352313 is about 598.4704680890.

The spelling of 214352313 in words is "two hundred fourteen million, three hundred fifty-two thousand, three hundred thirteen".