829255 has 32 divisors (see below), whose sum is σ = 1267200. Its totient is φ = 508032.

The previous prime is 829249. The next prime is 829267. The reversal of 829255 is 552928.

829255 = 3² + 4² + ... + 135².

It is a happy number.

It is not a de Polignac number, because 829255 - 2⁵ = 829223 is a prime.

829255 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19264 + ... + 19306.

It is an arithmetic number, because the mean of its divisors is an integer number (39600).

2⁸²⁹²⁵⁵ is an apocalyptic number.

829255 is a deficient number, since it is larger than the sum of its proper divisors (437945).

829255 is a wasteful number, since it uses less digits than its factorization.

829255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103.

The product of its digits is 7200, while the sum is 31.

The square root of 829255 is about 910.6343942549. The cubic root of 829255 is about 93.9498374277.

The spelling of 829255 in words is "eight hundred twenty-nine thousand, two hundred fifty-five".