14625 has 24 divisors (see below), whose sum is σ = 28392. Its totient is φ = 7200.

The previous prime is 14621. The next prime is 14627. The reversal of 14625 is 52641.

14625 = 10² + 11² + ... + 35².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 12321 = 48^2 + 111^2 .

It is not a de Polignac number, because 14625 - 2² = 14621 is a prime.

It is a Curzon number.

14625 is a lucky number.

It is a nialpdrome in base 5 and base 11.

It is a junction number, because it is equal to n+sod(n) for n = 14598 and 14607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1119 + ... + 1131.

It is an arithmetic number, because the mean of its divisors is an integer number (1183).

2¹⁴⁶²⁵ is an apocalyptic number.

14625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14625 is the 65-th nonagonal number.

It is an amenable number.

14625 is a deficient number, since it is larger than the sum of its proper divisors (13767).

14625 is a wasteful number, since it uses less digits than its factorization.

14625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 21 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 14625 is about 120.9338662245. The cubic root of 14625 is about 24.4548662325.

It can be divided in two parts, 146 and 25, that added together give a palindrome (171).

The spelling of 14625 in words is "fourteen thousand, six hundred twenty-five".