829313993 has 4 divisors (see below), whose sum is σ = 833481600. Its totient is φ = 825146388.

The previous prime is 829313983. The next prime is 829313999. The reversal of 829313993 is 399313928.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 829313993 - 2¹⁸ = 829051849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (829313999) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2083505 + ... + 2083902.

It is an arithmetic number, because the mean of its divisors is an integer number (208370400).

Almost surely, 2^829313993 is an apocalyptic number.

It is an amenable number.

829313993 is a deficient number, since it is larger than the sum of its proper divisors (4167607).

829313993 is a wasteful number, since it uses less digits than its factorization.

829313993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4167606.

The product of its digits is 314928, while the sum is 47.

The square root of 829313993 is about 28797.8122953811. The cubic root of 829313993 is about 939.5206523113.

The spelling of 829313993 in words is "eight hundred twenty-nine million, three hundred thirteen thousand, nine hundred ninety-three".