829725 has 48 divisors (see below), whose sum is σ = 1583232. Its totient is φ = 380160.

The previous prime is 829723. The next prime is 829727. The reversal of 829725 is 527928.

829725 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (829723) and next prime (829727).

It is not a de Polignac number, because 829725 - 2¹ = 829723 is a prime.

It is a d-powerful number, because it can be written as 8⁴ + 2² + 7⁷ + 9 + 2¹¹ + 5² .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22407 + ... + 22443.

It is an arithmetic number, because the mean of its divisors is an integer number (32984).

2⁸²⁹⁷²⁵ is an apocalyptic number.

It is an amenable number.

829725 is a deficient number, since it is larger than the sum of its proper divisors (753507).

829725 is a wasteful number, since it uses less digits than its factorization.

829725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 81 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 829725 is about 910.8924195535. The cubic root of 829725 is about 93.9675835107.

The spelling of 829725 in words is "eight hundred twenty-nine thousand, seven hundred twenty-five".