61965 has 28 divisors (see below), whose sum is σ = 118044. Its totient is φ = 31104.

The previous prime is 61961. The next prime is 61967. The reversal of 61965 is 56916.

61965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35721 + 26244 = 189^2 + 162^2 .

It is not a de Polignac number, because 61965 - 2² = 61961 is a prime.

It is a super-2 number, since 2×61965² = 7679322450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61961) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3637 + ... + 3653.

2⁶¹⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

61965 is a deficient number, since it is larger than the sum of its proper divisors (56079).

61965 is an equidigital number, since it uses as much as digits as its factorization.

61965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 25 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 61965 is about 248.9277003469. The cubic root of 61965 is about 39.5714670494.

The spelling of 61965 in words is "sixty-one thousand, nine hundred sixty-five".