829882773 has 16 divisors (see below), whose sum is σ = 1238846400. Its totient is φ = 549029520.

The previous prime is 829882769. The next prime is 829882783. The reversal of 829882773 is 377288928.

It is not a de Polignac number, because 829882773 - 2² = 829882769 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829882723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113778 + ... + 120851.

It is an arithmetic number, because the mean of its divisors is an integer number (77427900).

Almost surely, 2^829882773 is an apocalyptic number.

It is an amenable number.

829882773 is a deficient number, since it is larger than the sum of its proper divisors (408963627).

829882773 is a wasteful number, since it uses less digits than its factorization.

829882773 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234769 (or 234763 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 829882773 is about 28807.6860056479. The cubic root of 829882773 is about 939.7353914172.

The spelling of 829882773 in words is "eight hundred twenty-nine million, eight hundred eighty-two thousand, seven hundred seventy-three".