213644952 has 80 divisors (see below), whose sum is σ = 600518160. Its totient is φ = 70963776.

The previous prime is 213644947. The next prime is 213644971. The reversal of 213644952 is 259446312.

It is a happy number.

213644952 is a `hidden beast` number, since 2 + 1 + 3 + 644 + 9 + 5 + 2 = 666.

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

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 19 ways as a sum of consecutive naturals, for example, 315238 + ... + 315914.

It is an arithmetic number, because the mean of its divisors is an integer number (7506477).

Almost surely, 2^213644952 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 213644952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300259080).

213644952 is an abundant number, since it is smaller than the sum of its proper divisors (386873208).

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

213644952 is a wasteful number, since it uses less digits than its factorization.

213644952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1169 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 213644952 is about 14616.5985099133. The cubic root of 213644952 is about 597.8114266173.

The spelling of 213644952 in words is "two hundred thirteen million, six hundred forty-four thousand, nine hundred fifty-two".