13325 has 12 divisors (see below), whose sum is σ = 18228. Its totient is φ = 9600.

The previous prime is 13313. The next prime is 13327. The reversal of 13325 is 52331.

13325 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4489 + 8836 = 67^2 + 94^2 .

It is not a de Polignac number, because 13325 - 2⁴ = 13309 is a prime.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

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 13325.

It is not an unprimeable number, because it can be changed into a prime (13327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 305 + ... + 345.

It is an arithmetic number, because the mean of its divisors is an integer number (1519).

2¹³³²⁵ is an apocalyptic number.

It is an amenable number.

13325 is a deficient number, since it is larger than the sum of its proper divisors (4903).

13325 is a wasteful number, since it uses less digits than its factorization.

13325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 59 counting only the distinct ones).

The product of its digits is 90, while the sum is 14.

The square root of 13325 is about 115.4339638062. The cubic root of 13325 is about 23.7076808708.

Adding to 13325 its reverse (52331), we get a palindrome (65656).

It can be divided in two parts, 13 and 325, that multiplied together give a square (4225 = 65²).

The spelling of 13325 in words is "thirteen thousand, three hundred twenty-five".