125289 has 6 divisors (see below), whose sum is σ = 180986. Its totient is φ = 83520.

The previous prime is 125287. The next prime is 125299. The reversal of 125289 is 982521.

125289 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in only one way, i.e., 110889 + 14400 = 333^2 + 120^2 .

It is not a de Polignac number, because 125289 - 2¹ = 125287 is a prime.

It is a Duffinian number.

125289 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125287) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6952 + ... + 6969.

2¹²⁵²⁸⁹ is an apocalyptic number.

It is an amenable number.

125289 is a deficient number, since it is larger than the sum of its proper divisors (55697).

125289 is a wasteful number, since it uses less digits than its factorization.

125289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13927 (or 13924 counting only the distinct ones).

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

The square root of 125289 is about 353.9618623524. The cubic root of 125289 is about 50.0385036751.

Adding to 125289 its sum of digits (27), we get a square (125316 = 354²).

It can be divided in two parts, 125 and 289, that added together give a palindrome (414).

The spelling of 125289 in words is "one hundred twenty-five thousand, two hundred eighty-nine".