95965 has 8 divisors (see below), whose sum is σ = 122040. Its totient is φ = 72192.

The previous prime is 95959. The next prime is 95971. The reversal of 95965 is 56959.

95965 is nontrivially palindromic in base 2.

It is an interprime number because it is at equal distance from previous prime (95959) and next prime (95971).

It can be written as a sum of positive squares in 4 ways, for example, as 4761 + 91204 = 69^2 + 302^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 95965 - 2³ = 95957 is a prime.

It is a plaindrome in base 9 and base 13.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 95965.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480 + ... + 649.

It is an arithmetic number, because the mean of its divisors is an integer number (15255).

2⁹⁵⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

95965 is a deficient number, since it is larger than the sum of its proper divisors (26075).

95965 is a wasteful number, since it uses less digits than its factorization.

95965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151.

The product of its digits is 12150, while the sum is 34.

The square root of 95965 is about 309.7821815405. The cubic root of 95965 is about 45.7830044426.

It can be divided in two parts, 959 and 65, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 95965 in words is "ninety-five thousand, nine hundred sixty-five".