212713344 has 128 divisors (see below), whose sum is σ = 638724000. Its totient is φ = 69672960.

The previous prime is 212713343. The next prime is 212713357. The reversal of 212713344 is 443317212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212713343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210312 + ... + 211320.

Almost surely, 2^212713344 is an apocalyptic number.

212713344 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 212713344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319362000).

212713344 is an abundant number, since it is smaller than the sum of its proper divisors (426010656).

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

212713344 is a wasteful number, since it uses less digits than its factorization.

212713344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1075 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 212713344 is about 14584.6955401887. The cubic root of 212713344 is about 596.9412330730.

The spelling of 212713344 in words is "two hundred twelve million, seven hundred thirteen thousand, three hundred forty-four".