117331305 has 64 divisors (see below), whose sum is σ = 236544000. Its totient is φ = 48335616.

The previous prime is 117331301. The next prime is 117331307. The reversal of 117331305 is 503133711.

It is not a de Polignac number, because 117331305 - 2² = 117331301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (117331301) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 57696 + ... + 59694.

It is an arithmetic number, because the mean of its divisors is an integer number (3696000).

Almost surely, 2^117331305 is an apocalyptic number.

117331305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

117331305 is an abundant number, since it is smaller than the sum of its proper divisors (119212695).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117331305 is a wasteful number, since it uses less digits than its factorization.

117331305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 117331305 is about 10831.9575793113. The cubic root of 117331305 is about 489.5585431158.

The spelling of 117331305 in words is "one hundred seventeen million, three hundred thirty-one thousand, three hundred five".