39663 has 16 divisors (see below), whose sum is σ = 63840. Its totient is φ = 24192.

The previous prime is 39659. The next prime is 39667. The reversal of 39663 is 36693.

It is an interprime number because it is at equal distance from previous prime (39659) and next prime (39667).

It is not a de Polignac number, because 39663 - 2² = 39659 is a prime.

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

It is an Ulam number.

It is a plaindrome in base 11 and base 16.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39667) 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 15 ways as a sum of consecutive naturals, for example, 295 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (3990).

2³⁹⁶⁶³ is an apocalyptic number.

39663 is a deficient number, since it is larger than the sum of its proper divisors (24177).

39663 is a wasteful number, since it uses less digits than its factorization.

39663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

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

The square root of 39663 is about 199.1557179696. The cubic root of 39663 is about 34.1032042924.

It can be divided in two parts, 3966 and 3, that added together give a square (3969 = 63²).

The spelling of 39663 in words is "thirty-nine thousand, six hundred sixty-three".