306945 has 24 divisors (see below), whose sum is σ = 561600. Its totient is φ = 154656.

The previous prime is 306941. The next prime is 306947. The reversal of 306945 is 549603.

It is a happy number.

It is not a de Polignac number, because 306945 - 2² = 306941 is a prime.

306945 is a lucky number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (306941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 676 + ... + 1034.

It is an arithmetic number, because the mean of its divisors is an integer number (23400).

2³⁰⁶⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

306945 is a deficient number, since it is larger than the sum of its proper divisors (254655).

306945 is a wasteful number, since it uses less digits than its factorization.

306945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 386 counting only the distinct ones).

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

The square root of 306945 is about 554.0261726670. The cubic root of 306945 is about 67.4559383225.

The spelling of 306945 in words is "three hundred six thousand, nine hundred forty-five".