5961 has 4 divisors (see below), whose sum is σ = 7952. Its totient is φ = 3972.

The previous prime is 5953. The next prime is 5981. The reversal of 5961 is 1695.

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 5961 - 2³ = 5953 is a prime.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 14.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (5981) 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, 991 + ... + 996.

It is an arithmetic number, because the mean of its divisors is an integer number (1988).

2⁵⁹⁶¹ is an apocalyptic number.

It is an amenable number.

5961 is a deficient number, since it is larger than the sum of its proper divisors (1991).

5961 is a wasteful number, since it uses less digits than its factorization.

5961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990.

The product of its digits is 270, while the sum is 21.

The square root of 5961 is about 77.2075125878. The cubic root of 5961 is about 18.1317493690.

It can be divided in two parts, 59 and 61, that added together give a triangular number (120 = T₁₅).

The spelling of 5961 in words is "five thousand, nine hundred sixty-one".