213412872 has 64 divisors (see below), whose sum is σ = 554218560. Its totient is φ = 68428800.

The previous prime is 213412867. The next prime is 213412873. The reversal of 213412872 is 278214312.

It is not an unprimeable number, because it can be changed into a prime (213412873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70347 + ... + 73317.

It is an arithmetic number, because the mean of its divisors is an integer number (8659665).

Almost surely, 2^213412872 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 213412872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277109280).

213412872 is an abundant number, since it is smaller than the sum of its proper divisors (340805688).

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

213412872 is a wasteful number, since it uses less digits than its factorization.

213412872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3090 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 213412872 is about 14608.6574331798. The cubic root of 213412872 is about 597.5948830136.

The spelling of 213412872 in words is "two hundred thirteen million, four hundred twelve thousand, eight hundred seventy-two".