213742836 has 72 divisors (see below), whose sum is σ = 574426944. Its totient is φ = 66781440.

The previous prime is 213742811. The next prime is 213742871. The reversal of 213742836 is 638247312.

It is a happy number.

213742836 is a `hidden beast` number, since 2 + 1 + 374 + 283 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 213742836.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189771 + ... + 190893.

It is an arithmetic number, because the mean of its divisors is an integer number (7978152).

Almost surely, 2^213742836 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 213742836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287213472).

213742836 is an abundant number, since it is smaller than the sum of its proper divisors (360684108).

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

213742836 is a wasteful number, since it uses less digits than its factorization.

213742836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1456 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 213742836 is about 14619.9465115301. The cubic root of 213742836 is about 597.9027108388.

The spelling of 213742836 in words is "two hundred thirteen million, seven hundred forty-two thousand, eight hundred thirty-six".