16961 has 4 divisors (see below), whose sum is σ = 19392. Its totient is φ = 14532.

The previous prime is 16943. The next prime is 16963.

16961 is nontrivially palindromic in base 10.

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 not a de Polignac number, because 16961 - 2¹⁰ = 15937 is a prime.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16961.

It is not an unprimeable number, because it can be changed into a prime (16963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1205 + ... + 1218.

It is an arithmetic number, because the mean of its divisors is an integer number (4848).

2¹⁶⁹⁶¹ is an apocalyptic number.

It is an amenable number.

16961 is a deficient number, since it is larger than the sum of its proper divisors (2431).

16961 is an equidigital number, since it uses as much as digits as its factorization.

16961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430.

The product of its digits is 324, while the sum is 23.

The square root of 16961 is about 130.2344040567. The cubic root of 16961 is about 25.6931381096.

It can be divided in two parts, 16 and 961, that multiplied together give a square (15376 = 124²).

The spelling of 16961 in words is "sixteen thousand, nine hundred sixty-one".