663117 has 24 divisors (see below), whose sum is σ = 1110816. Its totient is φ = 348768.

The previous prime is 663097. The next prime is 663127. The reversal of 663117 is 711366.

663117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 663117 - 2⁶ = 663053 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 663117.

It is not an unprimeable number, because it can be changed into a prime (663127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1738 + ... + 2084.

It is an arithmetic number, because the mean of its divisors is an integer number (46284).

2⁶⁶³¹¹⁷ is an apocalyptic number.

It is an amenable number.

663117 is a deficient number, since it is larger than the sum of its proper divisors (447699).

663117 is a wasteful number, since it uses less digits than its factorization.

663117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 370 counting only the distinct ones).

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

The square root of 663117 is about 814.3199616858. The cubic root of 663117 is about 87.2027245032.

It can be divided in two parts, 663 and 117, that added together give a triangular number (780 = T₃₉).

The spelling of 663117 in words is "six hundred sixty-three thousand, one hundred seventeen".