213956 has 12 divisors (see below), whose sum is σ = 379260. Its totient is φ = 105600.

The previous prime is 213953. The next prime is 213973. The reversal of 213956 is 659312.

It can be written as a sum of positive squares in 2 ways, for example, as 111556 + 102400 = 334^2 + 320^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213956.

It is not an unprimeable number, because it can be changed into a prime (213953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56 + ... + 656.

It is an arithmetic number, because the mean of its divisors is an integer number (31605).

2²¹³⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

213956 is a deficient number, since it is larger than the sum of its proper divisors (165304).

213956 is a wasteful number, since it uses less digits than its factorization.

213956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 692 counting only the distinct ones).

The product of its digits is 1620, while the sum is 26.

The square root of 213956 is about 462.5537806569. The cubic root of 213956 is about 59.8101405979.

The spelling of 213956 in words is "two hundred thirteen thousand, nine hundred fifty-six".