117361305 has 40 divisors (see below), whose sum is σ = 211675464. Its totient is φ = 62208000.

The previous prime is 117361259. The next prime is 117361327. The reversal of 117361305 is 503163711.

It can be written as a sum of positive squares in 4 ways, for example, as 13749264 + 103612041 = 3708^2 + 10179^2 .

It is not a de Polignac number, because 117361305 - 2⁶ = 117361241 is a prime.

It is a super-2 number, since 2×117361305² = 27547351822606050, which contains 22 as substring.

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

It is a Curzon 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 39 ways as a sum of consecutive naturals, for example, 72505 + ... + 74105.

Almost surely, 2^117361305 is an apocalyptic number.

117361305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

117361305 is a deficient number, since it is larger than the sum of its proper divisors (94314159).

117361305 is a wasteful number, since it uses less digits than its factorization.

117361305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 117361305 is about 10833.3422820476. The cubic root of 117361305 is about 489.6002640209.

It can be divided in two parts, 11736 and 1305, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 117361305 in words is "one hundred seventeen million, three hundred sixty-one thousand, three hundred five".