305964 has 24 divisors (see below), whose sum is σ = 793520. Its totient is φ = 101952.

The previous prime is 305947. The next prime is 305971. The reversal of 305964 is 469503.

It is a happy number.

It is a super-2 number, since 2×305964² = 187227938592, which contains 22 as substring.

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

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, 1309 + ... + 1524.

2³⁰⁵⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

305964 is an abundant number, since it is smaller than the sum of its proper divisors (487556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

305964 is a wasteful number, since it uses less digits than its factorization.

305964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 305964 is about 553.1401269118. The cubic root of 305964 is about 67.3839982910.

The spelling of 305964 in words is "three hundred five thousand, nine hundred sixty-four".