213968 has 20 divisors (see below), whose sum is σ = 425568. Its totient is φ = 104160.

The previous prime is 213953. The next prime is 213973. The reversal of 213968 is 869312.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 213968.

It is a congruent number.

It is an unprimeable number.

213968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 533 + ... + 843.

2²¹³⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

213968 is a deficient number, since it is larger than the sum of its proper divisors (211600).

213968 is a wasteful number, since it uses less digits than its factorization.

213968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 356 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 213968 is about 462.5667519397. The cubic root of 213968 is about 59.8112587534.

The spelling of 213968 in words is "two hundred thirteen thousand, nine hundred sixty-eight".