829477053 has 24 divisors (see below), whose sum is σ = 1304690400. Its totient is φ = 505812384.

The previous prime is 829477031. The next prime is 829477057. The reversal of 829477053 is 350774928.

829477053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 829477053 - 2⁵ = 829477021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829477057) 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, 78675 + ... + 88592.

It is an arithmetic number, because the mean of its divisors is an integer number (54362100).

Almost surely, 2^829477053 is an apocalyptic number.

It is an amenable number.

829477053 is a deficient number, since it is larger than the sum of its proper divisors (475213347).

829477053 is a wasteful number, since it uses less digits than its factorization.

829477053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167321 (or 167318 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 829477053 is about 28800.6432740659. The cubic root of 829477053 is about 939.5822245664.

It can be divided in two parts, 82947 and 7053, that added together give a square (90000 = 300²).

The spelling of 829477053 in words is "eight hundred twenty-nine million, four hundred seventy-seven thousand, fifty-three".