213585372 has 144 divisors (see below), whose sum is σ = 725018112. Its totient is φ = 51200640.

The previous prime is 213585313. The next prime is 213585373. The reversal of 213585372 is 273585312.

It is a happy number.

213585372 is a `hidden beast` number, since 2 + 1 + 3 + 585 + 3 + 72 = 666.

213585372 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213585372² = 91237422264756768, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213585373) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33073 + ... + 38999.

It is an arithmetic number, because the mean of its divisors is an integer number (5034848).

Almost surely, 2^213585372 is an apocalyptic number.

213585372 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213585372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362509056).

213585372 is an abundant number, since it is smaller than the sum of its proper divisors (511432740).

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

213585372 is a wasteful number, since it uses less digits than its factorization.

213585372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5968 (or 5963 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 213585372 is about 14614.5602739186. The cubic root of 213585372 is about 597.7558501170.

It can be divided in two parts, 213 and 585372, that added together give a palindrome (585585).

The spelling of 213585372 in words is "two hundred thirteen million, five hundred eighty-five thousand, three hundred seventy-two".