213444312 has 32 divisors (see below), whose sum is σ = 541579200. Its totient is φ = 70085664.

The previous prime is 213444311. The next prime is 213444317.

213444312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213444311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64762 + ... + 67977.

It is an arithmetic number, because the mean of its divisors is an integer number (16924350).

Almost surely, 2^213444312 is an apocalyptic number.

It is an amenable number.

213444312 is an abundant number, since it is smaller than the sum of its proper divisors (328134888).

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

213444312 is a wasteful number, since it uses less digits than its factorization.

213444312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132815 (or 132811 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 213444312 is about 14609.7334677947. The cubic root of 213444312 is about 597.6242274800.

The spelling of 213444312 in words is "two hundred thirteen million, four hundred forty-four thousand, three hundred twelve".