125405 has 8 divisors (see below), whose sum is σ = 172032. Its totient is φ = 85968.

The previous prime is 125399. The next prime is 125407. The reversal of 125405 is 504521.

125405 = 42² + 43² + ... + 76².

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

It is a cyclic number.

It is not a de Polignac number, because 125405 - 2⁸ = 125149 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125405.

It is not an unprimeable number, because it can be changed into a prime (125407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1757 + ... + 1826.

It is an arithmetic number, because the mean of its divisors is an integer number (21504).

2¹²⁵⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

125405 is a deficient number, since it is larger than the sum of its proper divisors (46627).

125405 is an equidigital number, since it uses as much as digits as its factorization.

125405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3595.

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 125405 is about 354.1256839033. The cubic root of 125405 is about 50.0539417847.

Adding to 125405 its reverse (504521), we get a palindrome (629926).

It can be divided in two parts, 125 and 405, that multiplied together give a 4-th power (50625 = 15⁴).

The spelling of 125405 in words is "one hundred twenty-five thousand, four hundred five".