117801585 has 48 divisors (see below), whose sum is σ = 235872000. Its totient is φ = 53752320.

The previous prime is 117801571. The next prime is 117801587. The reversal of 117801585 is 585108711.

It is a happy number.

117801585 is a `hidden beast` number, since 1 + 1 + 78 + 0 + 1 + 585 = 666.

It is not a de Polignac number, because 117801585 - 2⁶ = 117801521 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (117801587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1416 + ... + 15414.

It is an arithmetic number, because the mean of its divisors is an integer number (4914000).

Almost surely, 2^117801585 is an apocalyptic number.

117801585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

117801585 is an abundant number, since it is smaller than the sum of its proper divisors (118070415).

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

117801585 is a wasteful number, since it uses less digits than its factorization.

117801585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14038 (or 14035 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 36.

The square root of 117801585 is about 10853.6438581704. The cubic root of 117801585 is about 490.2117438323.

The spelling of 117801585 in words is "one hundred seventeen million, eight hundred one thousand, five hundred eighty-five".