829253 has 8 divisors (see below), whose sum is σ = 856128. Its totient is φ = 802944.

The previous prime is 829249. The next prime is 829267. The reversal of 829253 is 352928.

829253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 829253 - 2² = 829249 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829223) 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, 8000 + ... + 8102.

It is an arithmetic number, because the mean of its divisors is an integer number (107016).

2⁸²⁹²⁵³ is an apocalyptic number.

829253 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

829253 is a deficient number, since it is larger than the sum of its proper divisors (26875).

829253 is a wasteful number, since it uses less digits than its factorization.

829253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283.

The product of its digits is 4320, while the sum is 29.

The square root of 829253 is about 910.6332961187. The cubic root of 829253 is about 93.9497618982.

It can be divided in two parts, 82925 and 3, that added together give a palindrome (82928).

The spelling of 829253 in words is "eight hundred twenty-nine thousand, two hundred fifty-three".