125385 has 16 divisors (see below), whose sum is σ = 216384. Its totient is φ = 61632.

The previous prime is 125383. The next prime is 125387. The reversal of 125385 is 583521.

It is an interprime number because it is at equal distance from previous prime (125383) and next prime (125387).

It is not a de Polignac number, because 125385 - 2¹ = 125383 is a prime.

125385 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125385.

It is not an unprimeable number, because it can be changed into a prime (125383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127 + ... + 516.

It is an arithmetic number, because the mean of its divisors is an integer number (13524).

2¹²⁵³⁸⁵ is an apocalyptic number.

125385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125385 is a deficient number, since it is larger than the sum of its proper divisors (90999).

125385 is a wasteful number, since it uses less digits than its factorization.

125385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664.

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

The square root of 125385 is about 354.0974442156. The cubic root of 125385 is about 50.0512807211.

It can be divided in two parts, 12 and 5385, that multiplied together give a triangular number (64620 = T₃₅₉).

The spelling of 125385 in words is "one hundred twenty-five thousand, three hundred eighty-five".