213537792 has 88 divisors (see below), whose sum is σ = 613051936. Its totient is φ = 65691648.

The previous prime is 213537769. The next prime is 213537803. The reversal of 213537792 is 297735312.

It is a super-2 number, since 2×213537792² = 91196777224470528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 213537792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37263 + ... + 42609.

Almost surely, 2^213537792 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 213537792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306525968).

213537792 is an abundant number, since it is smaller than the sum of its proper divisors (399514144).

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

213537792 is a wasteful number, since it uses less digits than its factorization.

213537792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5383 (or 5365 counting only the distinct ones).

The product of its digits is 79380, while the sum is 39.

The square root of 213537792 is about 14612.9323545960. The cubic root of 213537792 is about 597.7114598493.

The spelling of 213537792 in words is "two hundred thirteen million, five hundred thirty-seven thousand, seven hundred ninety-two".