117306225 has 60 divisors (see below), whose sum is σ = 221594076. Its totient is φ = 61326720.

The previous prime is 117306191. The next prime is 117306227. The reversal of 117306225 is 522603711.

It is a happy number.

117306225 is a `hidden beast` number, since 1 + 1 + 7 + 30 + 622 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10556001 + 106750224 = 3249^2 + 10332^2 .

It is not a de Polignac number, because 117306225 - 2⁷ = 117306097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (117306227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 106779 + ... + 107871.

Almost surely, 2^117306225 is an apocalyptic number.

117306225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

117306225 is a deficient number, since it is larger than the sum of its proper divisors (104287851).

117306225 is a wasteful number, since it uses less digits than its factorization.

117306225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 117306225 is about 10830.7998319607. The cubic root of 117306225 is about 489.5236589809.

Adding to 117306225 its reverse (522603711), we get a palindrome (639909936).

It can be divided in two parts, 11730 and 6225, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 117306225 in words is "one hundred seventeen million, three hundred six thousand, two hundred twenty-five".