305965 has 8 divisors (see below), whose sum is σ = 400608. Its totient is φ = 222480.

The previous prime is 305947. The next prime is 305971. The reversal of 305965 is 569503.

It is a happy number.

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

It is not a de Polignac number, because 305965 - 2⁵ = 305933 is a prime.

It is a super-2 number, since 2×305965² = 187229162450, which contains 22 as substring.

It is a Duffinian number.

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, 2727 + ... + 2836.

It is an arithmetic number, because the mean of its divisors is an integer number (50076).

2³⁰⁵⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

305965 is a deficient number, since it is larger than the sum of its proper divisors (94643).

305965 is a wasteful number, since it uses less digits than its factorization.

305965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5579.

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

The square root of 305965 is about 553.1410308411. The cubic root of 305965 is about 67.3840717026.

It can be divided in two parts, 30 and 5965, that added together give a palindrome (5995).

The spelling of 305965 in words is "three hundred five thousand, nine hundred sixty-five".