663309 has 20 divisors (see below), whose sum is σ = 1045440. Its totient is φ = 417960.

The previous prime is 663301. The next prime is 663319. The reversal of 663309 is 903366.

663309 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 663309 - 2³ = 663301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663301) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1324 + ... + 1754.

It is an arithmetic number, because the mean of its divisors is an integer number (52272).

2⁶⁶³³⁰⁹ is an apocalyptic number.

It is an amenable number.

663309 is a deficient number, since it is larger than the sum of its proper divisors (382131).

663309 is a wasteful number, since it uses less digits than its factorization.

663309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 663309 is about 814.4378429322. The cubic root of 663309 is about 87.2111399650.

It can be divided in two parts, 66 and 3309, that added together give a cube (3375 = 15³).

The spelling of 663309 in words is "six hundred sixty-three thousand, three hundred nine".