13725 has 18 divisors (see below), whose sum is σ = 24986. Its totient is φ = 7200.

The previous prime is 13723. The next prime is 13729. The reversal of 13725 is 52731.

13725 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 3 ways, for example, as 36 + 13689 = 6^2 + 117^2 .

It is not a de Polignac number, because 13725 - 2¹ = 13723 is a prime.

It is a Duffinian number.

13725 is a lucky number.

It is a plaindrome in base 16.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 13698 and 13707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13721) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 195 + ... + 255.

13725 is a Friedman number, since it can be written as 5*((7*2)^3+1), using all its digits and the basic arithmetic operations.

2¹³⁷²⁵ is an apocalyptic number.

13725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13725 is a deficient number, since it is larger than the sum of its proper divisors (11261).

13725 is a wasteful number, since it uses less digits than its factorization.

13725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 69 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 13725 is about 117.1537451386. The cubic root of 13725 is about 23.9425710226.

The spelling of 13725 in words is "thirteen thousand, seven hundred twenty-five".