214961013 has 32 divisors (see below), whose sum is σ = 337996800. Its totient is φ = 134730288.

The previous prime is 214960997. The next prime is 214961017. The reversal of 214961013 is 310169412.

214961013 is a `hidden beast` number, since 2 + 1 + 49 + 610 + 1 + 3 = 666.

It is not a de Polignac number, because 214961013 - 2⁴ = 214960997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214961017) 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 31 ways as a sum of consecutive naturals, for example, 33706 + ... + 39572.

It is an arithmetic number, because the mean of its divisors is an integer number (10562400).

Almost surely, 2^214961013 is an apocalyptic number.

214961013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

214961013 is a deficient number, since it is larger than the sum of its proper divisors (123035787).

214961013 is a wasteful number, since it uses less digits than its factorization.

214961013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5958 (or 5952 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 214961013 is about 14661.5487926753. The cubic root of 214961013 is about 599.0364283779.

The spelling of 214961013 in words is "two hundred fourteen million, nine hundred sixty-one thousand, thirteen".