306005 has 12 divisors (see below), whose sum is σ = 427500. Its totient is φ = 209664.

The previous prime is 305999. The next prime is 306011. The reversal of 306005 is 500603.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (305999) and next prime (306011).

It can be written as a sum of positive squares in 2 ways, for example, as 117649 + 188356 = 343^2 + 434^2 .

It is not a de Polignac number, because 306005 - 2⁸ = 305749 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 380 + ... + 869.

It is an arithmetic number, because the mean of its divisors is an integer number (35625).

2³⁰⁶⁰⁰⁵ is an apocalyptic number.

306005 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

306005 is a deficient number, since it is larger than the sum of its proper divisors (121495).

306005 is a wasteful number, since it uses less digits than its factorization.

306005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 306005 is about 553.1771868036. The cubic root of 306005 is about 67.3870080357.

Adding to 306005 its reverse (500603), we get a palindrome (806608).

The spelling of 306005 in words is "three hundred six thousand, five".