213042852 has 96 divisors (see below), whose sum is σ = 605404800. Its totient is φ = 64252800.

The previous prime is 213042803. The next prime is 213042853. The reversal of 213042852 is 258240312.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213042853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461902 + ... + 462362.

It is an arithmetic number, because the mean of its divisors is an integer number (6306300).

Almost surely, 2^213042852 is an apocalyptic number.

213042852 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213042852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302702400).

213042852 is an abundant number, since it is smaller than the sum of its proper divisors (392361948).

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

213042852 is a wasteful number, since it uses less digits than its factorization.

213042852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 213042852 is about 14595.9875308250. The cubic root of 213042852 is about 597.2493087671.

The spelling of 213042852 in words is "two hundred thirteen million, forty-two thousand, eight hundred fifty-two".