117225 has 18 divisors (see below), whose sum is σ = 210366. Its totient is φ = 62400.

The previous prime is 117223. The next prime is 117239. The reversal of 117225 is 522711.

It can be written as a sum of positive squares in 3 ways, for example, as 2304 + 114921 = 48^2 + 339^2 .

It is not a de Polignac number, because 117225 - 2¹ = 117223 is a prime.

117225 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 117198 and 117207.

It is not an unprimeable number, because it can be changed into a prime (117223) 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, 36 + ... + 485.

It is an arithmetic number, because the mean of its divisors is an integer number (11687).

2¹¹⁷²²⁵ is an apocalyptic number.

117225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

117225 is a deficient number, since it is larger than the sum of its proper divisors (93141).

117225 is a wasteful number, since it uses less digits than its factorization.

117225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 529 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 117225 is about 342.3813663154. The cubic root of 117225 is about 48.9410647815.

Adding to 117225 its reverse (522711), we get a palindrome (639936).

The spelling of 117225 in words is "one hundred seventeen thousand, two hundred twenty-five".