35965 has 4 divisors (see below), whose sum is σ = 43164. Its totient is φ = 28768.

The previous prime is 35963. The next prime is 35969. The reversal of 35965 is 56953.

It is a happy number.

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 6724 + 29241 = 82^2 + 171^2 .

It is a cyclic number.

It is not a de Polignac number, because 35965 - 2¹ = 35963 is a prime.

It is a Duffinian number.

35965 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3592 + ... + 3601.

It is an arithmetic number, because the mean of its divisors is an integer number (10791).

2³⁵⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

35965 is a deficient number, since it is larger than the sum of its proper divisors (7199).

35965 is an equidigital number, since it uses as much as digits as its factorization.

35965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7198.

The product of its digits is 4050, while the sum is 28.

The square root of 35965 is about 189.6444040830. The cubic root of 35965 is about 33.0085683291.

Subtracting from 35965 its sum of digits (28), we obtain a cube (35937 = 33³).

It can be divided in two parts, 359 and 65, that added together give a palindrome (424).

The spelling of 35965 in words is "thirty-five thousand, nine hundred sixty-five".