4965 has 8 divisors (see below), whose sum is σ = 7968. Its totient is φ = 2640.

The previous prime is 4957. The next prime is 4967. The reversal of 4965 is 5694.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4965 - 2³ = 4957 is a prime.

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

It is a Curzon number.

4965 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4965.

It is not an unprimeable number, because it can be changed into a prime (4967) 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 7 ways as a sum of consecutive naturals, for example, 151 + ... + 180.

It is an arithmetic number, because the mean of its divisors is an integer number (996).

2⁴⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

4965 is a deficient number, since it is larger than the sum of its proper divisors (3003).

4965 is a wasteful number, since it uses less digits than its factorization.

4965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339.

The product of its digits is 1080, while the sum is 24.

The square root of 4965 is about 70.4627561198. The cubic root of 4965 is about 17.0597665656.

Subtracting 4965 from its reverse (5694), we obtain a 6-th power (729 = 3⁶).

It can be divided in two parts, 4 and 965, that added together give a palindrome (969).

The spelling of 4965 in words is "four thousand, nine hundred sixty-five".