117209205 has 24 divisors (see below), whose sum is σ = 203650200. Its totient is φ = 62361600.

The previous prime is 117209179. The next prime is 117209221. The reversal of 117209205 is 502902711.

It can be written as a sum of positive squares in 4 ways, for example, as 49196196 + 68013009 = 7014^2 + 8247^2 .

It is not a de Polignac number, because 117209205 - 2¹⁹ = 116684917 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17305 + ... + 23105.

It is an arithmetic number, because the mean of its divisors is an integer number (8485425).

Almost surely, 2^117209205 is an apocalyptic number.

117209205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

117209205 is a deficient number, since it is larger than the sum of its proper divisors (86440995).

117209205 is a wasteful number, since it uses less digits than its factorization.

117209205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6261 (or 6258 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 117209205 is about 10826.3200118969. The cubic root of 117209205 is about 489.3886656196.

The spelling of 117209205 in words is "one hundred seventeen million, two hundred nine thousand, two hundred five".