39964 has 12 divisors (see below), whose sum is σ = 71344. Its totient is φ = 19584.

The previous prime is 39953. The next prime is 39971. The reversal of 39964 is 46993.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 337 + ... + 439.

2³⁹⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

39964 is a deficient number, since it is larger than the sum of its proper divisors (31380).

39964 is a wasteful number, since it uses less digits than its factorization.

39964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 202 counting only the distinct ones).

The product of its digits is 5832, while the sum is 31.

The square root of 39964 is about 199.9099797409. The cubic root of 39964 is about 34.1892559984.

Adding to 39964 its product of digits (5832), we get a square (45796 = 214²).

It can be divided in two parts, 3 and 9964, that multiplied together give a palindrome (29892).

The spelling of 39964 in words is "thirty-nine thousand, nine hundred sixty-four".