213192 has 80 divisors (see below), whose sum is σ = 696960. Its totient is φ = 59616.

The previous prime is 213181. The next prime is 213193. The reversal of 213192 is 291312.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213193) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4513 + ... + 4559.

It is an arithmetic number, because the mean of its divisors is an integer number (8712).

2²¹³¹⁹² 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 213192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348480).

213192 is an abundant number, since it is smaller than the sum of its proper divisors (483768).

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

213192 is a wasteful number, since it uses less digits than its factorization.

213192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 59 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 213192 is about 461.7271921817. The cubic root of 213192 is about 59.7388651251.

It can be divided in two parts, 21319 and 2, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 213192 in words is "two hundred thirteen thousand, one hundred ninety-two".