13964 has 6 divisors (see below), whose sum is σ = 24444. Its totient is φ = 6980.

The previous prime is 13963. The next prime is 13967. The reversal of 13964 is 46931.

13964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13963) by changing a digit.

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 as a sum of consecutive naturals, namely, 1742 + ... + 1749.

It is an arithmetic number, because the mean of its divisors is an integer number (4074).

2¹³⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

13964 is a deficient number, since it is larger than the sum of its proper divisors (10480).

13964 is a wasteful number, since it uses less digits than its factorization.

13964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495 (or 3493 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

The square root of 13964 is about 118.1693699738. The cubic root of 13964 is about 24.0807465470.

The spelling of 13964 in words is "thirteen thousand, nine hundred sixty-four".