829431313 has 8 divisors (see below), whose sum is σ = 867240000. Its totient is φ = 791768208.

The previous prime is 829431307. The next prime is 829431341. The reversal of 829431313 is 313134928.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 829431313 - 2²¹ = 827334161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (829431613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24658 + ... + 47611.

It is an arithmetic number, because the mean of its divisors is an integer number (108405000).

Almost surely, 2^829431313 is an apocalyptic number.

It is an amenable number.

829431313 is a deficient number, since it is larger than the sum of its proper divisors (37808687).

829431313 is a wasteful number, since it uses less digits than its factorization.

829431313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72791.

The product of its digits is 15552, while the sum is 34.

The square root of 829431313 is about 28799.8491836329. The cubic root of 829431313 is about 939.5649537326.

The spelling of 829431313 in words is "eight hundred twenty-nine million, four hundred thirty-one thousand, three hundred thirteen".