213514112 has 64 divisors (see below), whose sum is σ = 501872640. Its totient is φ = 88542720.

The previous prime is 213514099. The next prime is 213514117. The reversal of 213514112 is 211415312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213514117) 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, 23933 + ... + 31619.

It is an arithmetic number, because the mean of its divisors is an integer number (7841760).

Almost surely, 2^213514112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213514112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250936320).

213514112 is an abundant number, since it is smaller than the sum of its proper divisors (288358528).

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

213514112 is an equidigital number, since it uses as much as digits as its factorization.

213514112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7739 (or 7727 counting only the distinct ones).

The product of its digits is 240, while the sum is 20.

The square root of 213514112 is about 14612.1220909216. The cubic root of 213514112 is about 597.6893648835.

Adding to 213514112 its reverse (211415312), we get a palindrome (424929424).

The spelling of 213514112 in words is "two hundred thirteen million, five hundred fourteen thousand, one hundred twelve".