13963 has 2 divisors, whose sum is σ = 13964. Its totient is φ = 13962.

The previous prime is 13933. The next prime is 13967. The reversal of 13963 is 36931.

It is a strong prime.

It is an emirp because it is prime and its reverse (36931) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13963 - 2⁵ = 13931 is a prime.

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

It is not a weakly prime, because it can be changed into another prime (13967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6981 + 6982.

It is an arithmetic number, because the mean of its divisors is an integer number (6982).

2¹³⁹⁶³ is an apocalyptic number.

13963 is a deficient number, since it is larger than the sum of its proper divisors (1).

13963 is an equidigital number, since it uses as much as digits as its factorization.

13963 is an evil number, because the sum of its binary digits is even.

The product of its digits is 486, while the sum is 22.

The square root of 13963 is about 118.1651386831. The cubic root of 13963 is about 24.0801717040.

It can be divided in two parts, 139 and 63, that added together give a palindrome (202).

The spelling of 13963 in words is "thirteen thousand, nine hundred sixty-three".