213829596 has 72 divisors (see below), whose sum is σ = 556758384. Its totient is φ = 69154560.

The previous prime is 213829589. The next prime is 213829601. The reversal of 213829596 is 695928312.

213829596 is a `hidden beast` number, since 2 + 1 + 38 + 29 + 596 = 666.

It is a super-2 number, since 2×213829596² = 91446192251046432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408591 + ... + 409113.

Almost surely, 2^213829596 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 213829596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278379192).

213829596 is an abundant number, since it is smaller than the sum of its proper divisors (342928788).

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

213829596 is a wasteful number, since it uses less digits than its factorization.

213829596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 846 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 213829596 is about 14622.9133896088. The cubic root of 213829596 is about 597.9835977947.

The spelling of 213829596 in words is "two hundred thirteen million, eight hundred twenty-nine thousand, five hundred ninety-six".