213768 has 24 divisors (see below), whose sum is σ = 579150. Its totient is φ = 71232.

The previous prime is 213751. The next prime is 213791. The reversal of 213768 is 867312.

It can be written as a sum of positive squares in only one way, i.e., 213444 + 324 = 462^2 + 18^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213768.

It is an unprimeable number.

213768 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 5 ways as a sum of consecutive naturals, for example, 1413 + ... + 1556.

2²¹³⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

213768 is an abundant number, since it is smaller than the sum of its proper divisors (365382).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213768 is a wasteful number, since it uses less digits than its factorization.

213768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2974 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 213768 is about 462.3505163834. The cubic root of 213768 is about 59.7926173666.

The spelling of 213768 in words is "two hundred thirteen thousand, seven hundred sixty-eight".