213739344 has 160 divisors (see below), whose sum is σ = 755229440. Its totient is φ = 56360448.

The previous prime is 213739321. The next prime is 213739397. The reversal of 213739344 is 443937312.

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 junction number, because it is equal to n+sod(n) for n = 213739299 and 213739308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36594 + ... + 42030.

It is an arithmetic number, because the mean of its divisors is an integer number (4720184).

Almost surely, 2^213739344 is an apocalyptic number.

213739344 is a gapful number since it is divisible by the number (24) 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 213739344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377614720).

213739344 is an abundant number, since it is smaller than the sum of its proper divisors (541490096).

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

213739344 is a wasteful number, since it uses less digits than its factorization.

213739344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5474 (or 5462 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 213739344 is about 14619.8270851608. The cubic root of 213739344 is about 597.8994547645.

The spelling of 213739344 in words is "two hundred thirteen million, seven hundred thirty-nine thousand, three hundred forty-four".