213936961 has 16 divisors (see below), whose sum is σ = 257163264. Its totient is φ = 174003984.

The previous prime is 213936953. The next prime is 213937039. The reversal of 213936961 is 169639312.

It is not a de Polignac number, because 213936961 - 2³ = 213936953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213936901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15216 + ... + 25678.

It is an arithmetic number, because the mean of its divisors is an integer number (16072704).

Almost surely, 2^213936961 is an apocalyptic number.

It is an amenable number.

213936961 is a deficient number, since it is larger than the sum of its proper divisors (43226303).

213936961 is a wasteful number, since it uses less digits than its factorization.

213936961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10620.

The product of its digits is 52488, while the sum is 40.

The square root of 213936961 is about 14626.5840509669. The cubic root of 213936961 is about 598.0836646512.

The spelling of 213936961 in words is "two hundred thirteen million, nine hundred thirty-six thousand, nine hundred sixty-one".