829268 has 24 divisors (see below), whose sum is σ = 1620864. Its totient is φ = 368000.

The previous prime is 829267. The next prime is 829273. The reversal of 829268 is 862928.

829268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1868 + ... + 2268.

It is an arithmetic number, because the mean of its divisors is an integer number (67536).

2⁸²⁹²⁶⁸ is an apocalyptic number.

It is an amenable number.

829268 is a deficient number, since it is larger than the sum of its proper divisors (791596).

829268 is a wasteful number, since it uses less digits than its factorization.

829268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 461 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 829268 is about 910.6415321080. The cubic root of 829268 is about 93.9503283670.

The spelling of 829268 in words is "eight hundred twenty-nine thousand, two hundred sixty-eight".