829655253 has 24 divisors (see below), whose sum is σ = 1373943168. Its totient is φ = 472581792.

The previous prime is 829655251. The next prime is 829655257. The reversal of 829655253 is 352556928.

829655253 is a `hidden beast` number, since 8 + 2 + 96 + 552 + 5 + 3 = 666.

829655253 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 829655253 - 2¹ = 829655251 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 829655199 and 829655208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829655251) 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, 801 + ... + 40742.

It is an arithmetic number, because the mean of its divisors is an integer number (57247632).

Almost surely, 2^829655253 is an apocalyptic number.

It is an amenable number.

829655253 is a deficient number, since it is larger than the sum of its proper divisors (544287915).

829655253 is a wasteful number, since it uses less digits than its factorization.

829655253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41873 (or 41870 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 829655253 is about 28803.7367888265. The cubic root of 829655253 is about 939.6495045323.

The spelling of 829655253 in words is "eight hundred twenty-nine million, six hundred fifty-five thousand, two hundred fifty-three".