125985 has 16 divisors (see below), whose sum is σ = 207936. Its totient is φ = 65088.

The previous prime is 125963. The next prime is 126001. The reversal of 125985 is 589521.

125985 = 75² + 76² + ... + 92².

It is not a de Polignac number, because 125985 - 2⁶ = 125921 is a prime.

It is a Curzon number.

125985 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442 + ... + 668.

It is an arithmetic number, because the mean of its divisors is an integer number (12996).

2¹²⁵⁹⁸⁵ is an apocalyptic number.

125985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125985 is a deficient number, since it is larger than the sum of its proper divisors (81951).

125985 is a wasteful number, since it uses less digits than its factorization.

125985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272.

The product of its digits is 3600, while the sum is 30.

The square root of 125985 is about 354.9436575007. The cubic root of 125985 is about 50.1309898668.

The spelling of 125985 in words is "one hundred twenty-five thousand, nine hundred eighty-five".