213832710 has 192 divisors, whose sum is σ = 710341632. Its totient is φ = 45069696.

The previous prime is 213832621. The next prime is 213832733. The reversal of 213832710 is 17238312.

213832710 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220647 + ... + 221613.

It is an arithmetic number, because the mean of its divisors is an integer number (3699696).

Almost surely, 2^213832710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213832710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355170816).

213832710 is an abundant number, since it is smaller than the sum of its proper divisors (496508922).

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

213832710 is a wasteful number, since it uses less digits than its factorization.

213832710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 213832710 is about 14623.0198659511. The cubic root of 213832710 is about 597.9865005920.

The spelling of 213832710 in words is "two hundred thirteen million, eight hundred thirty-two thousand, seven hundred ten".