125835 has 8 divisors (see below), whose sum is σ = 201360. Its totient is φ = 67104.

The previous prime is 125821. The next prime is 125863. The reversal of 125835 is 538521.

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

It is not a de Polignac number, because 125835 - 2⁵ = 125803 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4180 + ... + 4209.

It is an arithmetic number, because the mean of its divisors is an integer number (25170).

2¹²⁵⁸³⁵ is an apocalyptic number.

125835 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

125835 is a deficient number, since it is larger than the sum of its proper divisors (75525).

125835 is an equidigital number, since it uses as much as digits as its factorization.

125835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8397.

The product of its digits is 1200, while the sum is 24.

The square root of 125835 is about 354.7322934270. The cubic root of 125835 is about 50.1110863470. Note that the first 3 decimals are identical.

Subtracting 125835 from its reverse (538521), we obtain a triangular number (412686 = T₉₀₈).

The spelling of 125835 in words is "one hundred twenty-five thousand, eight hundred thirty-five".