213772 has 12 divisors (see below), whose sum is σ = 402976. Its totient is φ = 98640.

The previous prime is 213751. The next prime is 213791. The reversal of 213772 is 277312.

It is a plaindrome in base 11.

It is an unprimeable number.

213772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2004 + ... + 2107.

2²¹³⁷⁷² is an apocalyptic number.

It is an amenable number.

213772 is a deficient number, since it is larger than the sum of its proper divisors (189204).

213772 is a wasteful number, since it uses less digits than its factorization.

213772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128 (or 4126 counting only the distinct ones).

The product of its digits is 588, while the sum is 22.

The square root of 213772 is about 462.3548420856. The cubic root of 213772 is about 59.7929903082.

It can be divided in two parts, 2137 and 72, that added together give a square (2209 = 47²).

The spelling of 213772 in words is "two hundred thirteen thousand, seven hundred seventy-two".