829342039 has 24 divisors (see below), whose sum is σ = 920153520. Its totient is φ = 745130880.

The previous prime is 829342009. The next prime is 829342051. The reversal of 829342039 is 930243928.

It is a de Polignac number, because none of the positive numbers 2^k-829342039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 829341992 and 829342010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829342009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 967299 + ... + 968155.

It is an arithmetic number, because the mean of its divisors is an integer number (38339730).

Almost surely, 2^829342039 is an apocalyptic number.

829342039 is a deficient number, since it is larger than the sum of its proper divisors (90811481).

829342039 is a wasteful number, since it uses less digits than its factorization.

829342039 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 829342039 is about 28798.2992379758. The cubic root of 829342039 is about 939.5312431930.

The spelling of 829342039 in words is "eight hundred twenty-nine million, three hundred forty-two thousand, thirty-nine".