213949312 has 32 divisors (see below), whose sum is σ = 444764880. Its totient is φ = 102322176.

The previous prime is 213949297. The next prime is 213949343.

213949312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33393 + ... + 39280.

Almost surely, 2^213949312 is an apocalyptic number.

It is an amenable number.

213949312 is an abundant number, since it is smaller than the sum of its proper divisors (230815568).

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

213949312 is an equidigital number, since it uses as much as digits as its factorization.

213949312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72710 (or 72698 counting only the distinct ones).

The product of its digits is 11664, while the sum is 34.

The square root of 213949312 is about 14627.0062555535. The cubic root of 213949312 is about 598.0951739438.

The spelling of 213949312 in words is "two hundred thirteen million, nine hundred forty-nine thousand, three hundred twelve".