125829 has 24 divisors (see below), whose sum is σ = 209664. Its totient is φ = 72000.

The previous prime is 125821. The next prime is 125863. The reversal of 125829 is 928521.

125829 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 125829 - 2³ = 125821 is a prime.

It is an Ulam number.

125829 is strictly pandigital in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3049 + ... + 3089.

It is an arithmetic number, because the mean of its divisors is an integer number (8736).

2¹²⁵⁸²⁹ is an apocalyptic number.

It is an amenable number.

125829 is a deficient number, since it is larger than the sum of its proper divisors (83835).

125829 is a wasteful number, since it uses less digits than its factorization.

125829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 86 counting only the distinct ones).

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

The square root of 125829 is about 354.7238362445. The cubic root of 125829 is about 50.1102898773.

The spelling of 125829 in words is "one hundred twenty-five thousand, eight hundred twenty-nine".