117663 has 16 divisors (see below), whose sum is σ = 193536. Its totient is φ = 61920.

The previous prime is 117659. The next prime is 117671. The reversal of 117663 is 366711.

It is not a de Polignac number, because 117663 - 2² = 117659 is a prime.

117663 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58 + ... + 488.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

117663 is a Friedman number, since it can be written as 7^6+6+(1+1)^3, using all its digits and the basic arithmetic operations.

2¹¹⁷⁶⁶³ is an apocalyptic number.

117663 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

117663 is a deficient number, since it is larger than the sum of its proper divisors (75873).

117663 is a wasteful number, since it uses less digits than its factorization.

117663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454.

The product of its digits is 756, while the sum is 24.

The square root of 117663 is about 343.0204075562. The cubic root of 117663 is about 49.0019435575.

It can be divided in two parts, 1176 and 63, that multiplied together give a cube (74088 = 42³).

The spelling of 117663 in words is "one hundred seventeen thousand, six hundred sixty-three".