13961 has 4 divisors (see below), whose sum is σ = 14592. Its totient is φ = 13332.

The previous prime is 13933. The next prime is 13963. The reversal of 13961 is 16931.

13961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13961 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a nialpdrome in base 8 and base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13961.

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 in 3 ways as a sum of consecutive naturals, for example, 281 + ... + 326.

It is an arithmetic number, because the mean of its divisors is an integer number (3648).

2¹³⁹⁶¹ is an apocalyptic number.

It is an amenable number.

13961 is a deficient number, since it is larger than the sum of its proper divisors (631).

13961 is an equidigital number, since it uses as much as digits as its factorization.

13961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630.

The product of its digits is 162, while the sum is 20.

The square root of 13961 is about 118.1566756472. The cubic root of 13961 is about 24.0790219357.

The spelling of 13961 in words is "thirteen thousand, nine hundred sixty-one".