829622829 has 16 divisors (see below), whose sum is σ = 1269620352. Its totient is φ = 472032768.

The previous prime is 829622813. The next prime is 829622839. The reversal of 829622829 is 928226928.

It is not a de Polignac number, because 829622829 - 2⁴ = 829622813 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829622809) 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, 79884 + ... + 89669.

It is an arithmetic number, because the mean of its divisors is an integer number (79351272).

Almost surely, 2^829622829 is an apocalyptic number.

It is an amenable number.

829622829 is a deficient number, since it is larger than the sum of its proper divisors (439997523).

829622829 is a wasteful number, since it uses less digits than its factorization.

829622829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169796.

The product of its digits is 497664, while the sum is 48.

The square root of 829622829 is about 28803.1739396894. The cubic root of 829622829 is about 939.6372634670.

It can be divided in two parts, 8296 and 22829, that added together give a triangular number (31125 = T₂₄₉).

The spelling of 829622829 in words is "eight hundred twenty-nine million, six hundred twenty-two thousand, eight hundred twenty-nine".