213964 has 12 divisors (see below), whose sum is σ = 378000. Its totient is φ = 105968.

The previous prime is 213953. The next prime is 213973. The reversal of 213964 is 469312.

213964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 417 + ... + 775.

It is an arithmetic number, because the mean of its divisors is an integer number (31500).

2²¹³⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

213964 is a deficient number, since it is larger than the sum of its proper divisors (164036).

213964 is a wasteful number, since it uses less digits than its factorization.

213964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 510 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 213964 is about 462.5624282192. The cubic root of 213964 is about 59.8108860396.

The spelling of 213964 in words is "two hundred thirteen thousand, nine hundred sixty-four".