75965 has 4 divisors (see below), whose sum is σ = 91164. Its totient is φ = 60768.

The previous prime is 75941. The next prime is 75967. The reversal of 75965 is 56957.

75965 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

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 56644 + 19321 = 238^2 + 139^2 .

It is a cyclic number.

It is not a de Polignac number, because 75965 - 2⁸ = 75709 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

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 75965.

It is not an unprimeable number, because it can be changed into a prime (75967) 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, 7592 + ... + 7601.

It is an arithmetic number, because the mean of its divisors is an integer number (22791).

2⁷⁵⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

75965 is a deficient number, since it is larger than the sum of its proper divisors (15199).

75965 is a wasteful number, since it uses less digits than its factorization.

75965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15198.

The product of its digits is 9450, while the sum is 32.

The square root of 75965 is about 275.6174885598. The cubic root of 75965 is about 42.3517324834.

The spelling of 75965 in words is "seventy-five thousand, nine hundred sixty-five".