213565312 has 16 divisors (see below), whose sum is σ = 425462400. Its totient is φ = 106782592.

The previous prime is 213565291. The next prime is 213565343.

213565312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-3 number, since 3×213565312³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 834112 + ... + 834367.

It is an arithmetic number, because the mean of its divisors is an integer number (26591400).

Almost surely, 2^213565312 is an apocalyptic number.

It is an amenable number.

213565312 is a deficient number, since it is larger than the sum of its proper divisors (211897088).

213565312 is an equidigital number, since it uses as much as digits as its factorization.

213565312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668493 (or 1668481 counting only the distinct ones).

The product of its digits is 5400, while the sum is 28.

The square root of 213565312 is about 14613.8739559365. The cubic root of 213565312 is about 597.7371357302.

The spelling of 213565312 in words is "two hundred thirteen million, five hundred sixty-five thousand, three hundred twelve".