2965 has 4 divisors (see below), whose sum is σ = 3564. Its totient is φ = 2368.

The previous prime is 2963. The next prime is 2969. The reversal of 2965 is 5692.

2965 = 38² + 39².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1444 + 1521 = 38^2 + 39^2 .

It is a cyclic number.

It is not a de Polignac number, because 2965 - 2¹ = 2963 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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

It is a Duffinian number.

It is a plaindrome in base 11 and base 14.

It is a nialpdrome in base 5 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2963) 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, 292 + ... + 301.

It is an arithmetic number, because the mean of its divisors is an integer number (891).

2965 is the 39-th centered square number.

It is an amenable number.

2965 is a deficient number, since it is larger than the sum of its proper divisors (599).

2965 is an equidigital number, since it uses as much as digits as its factorization.

2965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598.

The product of its digits is 540, while the sum is 22.

The square root of 2965 is about 54.4518135602. The cubic root of 2965 is about 14.3661886770.

The spelling of 2965 in words is "two thousand, nine hundred sixty-five".