117200993 has 18 divisors (see below), whose sum is σ = 147640374. Its totient is φ = 92723904.

The previous prime is 117200981. The next prime is 117200999. The reversal of 117200993 is 399002711.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 388129 + 116812864 = 623^2 + 10808^2 .

It is not a de Polignac number, because 117200993 - 2¹⁰ = 117199969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (117200999) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1205 + ... + 15357.

It is an arithmetic number, because the mean of its divisors is an integer number (8202243).

Almost surely, 2^117200993 is an apocalyptic number.

117200993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

117200993 is a deficient number, since it is larger than the sum of its proper divisors (30439381).

117200993 is a wasteful number, since it uses less digits than its factorization.

117200993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14193 (or 14173 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 117200993 is about 10825.9407443418. The cubic root of 117200993 is about 489.3772360463.

The spelling of 117200993 in words is "one hundred seventeen million, two hundred thousand, nine hundred ninety-three".