663311 has 8 divisors (see below), whose sum is σ = 739584. Its totient is φ = 589720.

The previous prime is 663301. The next prime is 663319. The reversal of 663311 is 113366.

663311 = 33² + 34² + ... + 126².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 663311 - 2¹⁰ = 662287 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

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 663311.

It is not an unprimeable number, because it can be changed into a prime (663319) 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 7 ways as a sum of consecutive naturals, for example, 125 + ... + 1158.

It is an arithmetic number, because the mean of its divisors is an integer number (92448).

2⁶⁶³³¹¹ is an apocalyptic number.

663311 is a deficient number, since it is larger than the sum of its proper divisors (76273).

663311 is a wasteful number, since it uses less digits than its factorization.

663311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341.

The product of its digits is 324, while the sum is 20.

The square root of 663311 is about 814.4390707720. The cubic root of 663311 is about 87.2112276175.

Adding to 663311 its reverse (113366), we get a palindrome (776677).

Subtracting from 663311 its reverse (113366), we obtain a palindrome (549945).

The spelling of 663311 in words is "six hundred sixty-three thousand, three hundred eleven".