213764 has 6 divisors (see below), whose sum is σ = 374094. Its totient is φ = 106880.

The previous prime is 213751. The next prime is 213791. The reversal of 213764 is 467312.

213764 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 193600 + 20164 = 440^2 + 142^2 .

It is an unprimeable number.

213764 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 as a sum of consecutive naturals, namely, 26717 + ... + 26724.

It is an arithmetic number, because the mean of its divisors is an integer number (62349).

2²¹³⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

213764 is a deficient number, since it is larger than the sum of its proper divisors (160330).

213764 is a wasteful number, since it uses less digits than its factorization.

213764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53445 (or 53443 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 213764 is about 462.3461906407. The cubic root of 213764 is about 59.7922444202.

The spelling of 213764 in words is "two hundred thirteen thousand, seven hundred sixty-four".