27225 has 27 divisors (see below), whose sum is σ = 53599. Its totient is φ = 13200.

The previous prime is 27211. The next prime is 27239. The reversal of 27225 is 52272.

Adding to 27225 its reverse (52272), we get a palindrome (79497).

It can be divided in two parts, 27 and 225, that added together give a palindrome (252).

27225 = T_{164} + T_{165}.

It is a happy number.

The square root of 27225 is 165.

It is a perfect power (a square), and thus also a powerful number.

27225 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (27211) and next prime (27239).

It can be written as a sum of positive squares in only one way, i.e., 9801 + 17424 = 99^2 + 132^2 .

It is not a de Polignac number, because 27225 - 2^{9} = 26713 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 27198 and 27207.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2470 + ... + 2480.

2^{27225} is an apocalyptic number.

27225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27225 is the 165-th square number.

27225 is the 83-rd centered octagonal number.

It is an amenable number.

27225 is a deficient number, since it is larger than the sum of its proper divisors (26374).

27225 is a wasteful number, since it uses less digits than its factorization.

27225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 19 counting only the distinct ones).

The product of its digits is 280, while the sum is 18.

The cubic root of 27225 is about 30.0831029176.

The spelling of 27225 in words is "twenty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 495 605 825 1089 1815 2475 3025 5445 9075 27225

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