829605213 has 32 divisors (see below), whose sum is σ = 1253049600. Its totient is φ = 542376000.

The previous prime is 829605209. The next prime is 829605247. The reversal of 829605213 is 312506928.

829605213 is a `hidden beast` number, since 8 + 29 + 605 + 21 + 3 = 666.

It is not a de Polignac number, because 829605213 - 2² = 829605209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829605263) 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, 295848 + ... + 298638.

It is an arithmetic number, because the mean of its divisors is an integer number (39157800).

Almost surely, 2^829605213 is an apocalyptic number.

It is an amenable number.

829605213 is a deficient number, since it is larger than the sum of its proper divisors (423444387).

829605213 is a wasteful number, since it uses less digits than its factorization.

829605213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010 (or 3004 counting only the distinct ones).

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

The square root of 829605213 is about 28802.8681384337. The cubic root of 829605213 is about 939.6306127471.

The spelling of 829605213 in words is "eight hundred twenty-nine million, six hundred five thousand, two hundred thirteen".