117005301 has 24 divisors (see below), whose sum is σ = 201552000. Its totient is φ = 63952416.

The previous prime is 117005299. The next prime is 117005303. The reversal of 117005301 is 103500711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (117005299) and next prime (117005303).

It is not a de Polignac number, because 117005301 - 2¹ = 117005299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117005303) 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 23 ways as a sum of consecutive naturals, for example, 38926 + ... + 41823.

It is an arithmetic number, because the mean of its divisors is an integer number (8398000).

Almost surely, 2^117005301 is an apocalyptic number.

It is an amenable number.

117005301 is a deficient number, since it is larger than the sum of its proper divisors (84546699).

117005301 is a wasteful number, since it uses less digits than its factorization.

117005301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80785 (or 80782 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 117005301 is about 10816.8988624282. The cubic root of 117005301 is about 489.1047111630.

The spelling of 117005301 in words is "one hundred seventeen million, five thousand, three hundred one".