213732 has 24 divisors (see below), whose sum is σ = 554400. Its totient is φ = 71208.

The previous prime is 213727. The next prime is 213737. The reversal of 213732 is 237312.

It is an interprime number because it is at equal distance from previous prime (213727) and next prime (213737).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (213737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 882 + ... + 1097.

It is an arithmetic number, because the mean of its divisors is an integer number (23100).

2²¹³⁷³² is an apocalyptic number.

It is an amenable number.

213732 is an abundant number, since it is smaller than the sum of its proper divisors (340668).

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

213732 is a wasteful number, since it uses less digits than its factorization.

213732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1984 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 213732 is about 462.3115832423. The cubic root of 213732 is about 59.7892606823.

The spelling of 213732 in words is "two hundred thirteen thousand, seven hundred thirty-two".