213809652 has 96 divisors (see below), whose sum is σ = 636419840. Its totient is φ = 60808320.

The previous prime is 213809597. The next prime is 213809653. The reversal of 213809652 is 256908312.

It is a super-2 number, since 2×213809652² = 91429134576722208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213809653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208902 + ... + 209922.

Almost surely, 2^213809652 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 213809652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318209920).

213809652 is an abundant number, since it is smaller than the sum of its proper divisors (422610188).

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

213809652 is a wasteful number, since it uses less digits than its factorization.

213809652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 213809652 is about 14622.2314302571. The cubic root of 213809652 is about 597.9650058008.

The spelling of 213809652 in words is "two hundred thirteen million, eight hundred nine thousand, six hundred fifty-two".