829263953 has 4 divisors (see below), whose sum is σ = 947730240. Its totient is φ = 710797668.

The previous prime is 829263931. The next prime is 829263973. The reversal of 829263953 is 359362928.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 829263953 - 2⁸ = 829263697 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 829263898 and 829263907.

It is not an unprimeable number, because it can be changed into a prime (829263923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59233133 + ... + 59233146.

It is an arithmetic number, because the mean of its divisors is an integer number (236932560).

Almost surely, 2^829263953 is an apocalyptic number.

It is an amenable number.

829263953 is a deficient number, since it is larger than the sum of its proper divisors (118466287).

829263953 is a wasteful number, since it uses less digits than its factorization.

829263953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118466286.

The product of its digits is 699840, while the sum is 47.

The square root of 829263953 is about 28796.9434662778. The cubic root of 829263953 is about 939.5017553437.

The spelling of 829263953 in words is "eight hundred twenty-nine million, two hundred sixty-three thousand, nine hundred fifty-three".