2961 has 12 divisors (see below), whose sum is σ = 4992. Its totient is φ = 1656.

The previous prime is 2957. The next prime is 2963. The reversal of 2961 is 1692.

2961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2961 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 2961 - 2² = 2957 is a prime.

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

It is a Curzon number.

2961 is a lucky number.

It is a plaindrome in base 13 and base 14.

It is a nialpdrome in base 5 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2961.

It is not an unprimeable number, because it can be changed into a prime (2963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40 + ... + 86.

It is an arithmetic number, because the mean of its divisors is an integer number (416).

2961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2961 is a deficient number, since it is larger than the sum of its proper divisors (2031).

2961 is a wasteful number, since it uses less digits than its factorization.

2961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 57 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 2961 is about 54.4150714417. The cubic root of 2961 is about 14.3597254262.

The spelling of 2961 in words is "two thousand, nine hundred sixty-one".