213683832 has 160 divisors (see below), whose sum is σ = 631184400. Its totient is φ = 67447296.

The previous prime is 213683819. The next prime is 213683839. The reversal of 213683832 is 238386312.

213683832 is a `hidden beast` number, since 213 + 68 + 383 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213683839) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1559668 + ... + 1559804.

Almost surely, 2^213683832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213683832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315592200).

213683832 is an abundant number, since it is smaller than the sum of its proper divisors (417500568).

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

213683832 is a wasteful number, since it uses less digits than its factorization.

213683832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 254 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 213683832 is about 14617.9284442085. The cubic root of 213683832 is about 597.8476884905.

It can be divided in two parts, 21368 and 3832, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 213683832 in words is "two hundred thirteen million, six hundred eighty-three thousand, eight hundred thirty-two".