829125 has 48 divisors (see below), whose sum is σ = 1654848. Its totient is φ = 396000.

The previous prime is 829123. The next prime is 829151. The reversal of 829125 is 521928.

829125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 829125 - 2¹ = 829123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829121) 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, 12342 + ... + 12408.

It is an arithmetic number, because the mean of its divisors is an integer number (34476).

2⁸²⁹¹²⁵ is an apocalyptic number.

It is an amenable number.

829125 is a deficient number, since it is larger than the sum of its proper divisors (825723).

829125 is a wasteful number, since it uses less digits than its factorization.

829125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 86 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 829125 is about 910.5630126466. The cubic root of 829125 is about 93.9449277529.

The spelling of 829125 in words is "eight hundred twenty-nine thousand, one hundred twenty-five".