15225 has 24 divisors (see below), whose sum is σ = 29760. Its totient is φ = 6720.

The previous prime is 15217. The next prime is 15227. The reversal of 15225 is 52251.

15225 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

15225 is a nontrivial binomial coefficient, being equal to C(175, 2).

It is not a de Polignac number, because 15225 - 2³ = 15217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

15225 is an undulating number in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15227) 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, 511 + ... + 539.

It is an arithmetic number, because the mean of its divisors is an integer number (1240).

2¹⁵²²⁵ is an apocalyptic number.

15225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

15225 is the 174-th triangular number.

It is an amenable number.

15225 is a deficient number, since it is larger than the sum of its proper divisors (14535).

15225 is a wasteful number, since it uses less digits than its factorization.

15225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 44 counting only the distinct ones).

The product of its digits is 100, while the sum is 15.

The square root of 15225 is about 123.3896267925. The cubic root of 15225 is about 24.7848198811.

Adding to 15225 its reverse (52251), we get a palindrome (67476).

It can be divided in two parts, 15 and 225, that multiplied together give a cube (3375 = 15³).

The spelling of 15225 in words is "fifteen thousand, two hundred twenty-five".