301005 has 12 divisors (see below), whose sum is σ = 521820. Its totient is φ = 160512.

The previous prime is 300997. The next prime is 301013. The reversal of 301005 is 500103.

It is an interprime number because it is at equal distance from previous prime (300997) and next prime (301013).

It can be written as a sum of positive squares in 2 ways, for example, as 184041 + 116964 = 429^2 + 342^2 .

It is not a de Polignac number, because 301005 - 2³ = 300997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3300 + ... + 3389.

It is an arithmetic number, because the mean of its divisors is an integer number (43485).

2³⁰¹⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

301005 is a deficient number, since it is larger than the sum of its proper divisors (220815).

301005 is a wasteful number, since it uses less digits than its factorization.

301005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6700 (or 6697 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 301005 is about 548.6392257212. The cubic root of 301005 is about 67.0179650347.

Adding to 301005 its reverse (500103), we get a palindrome (801108).

It can be divided in two parts, 30 and 1005, that added together give a triangular number (1035 = T₄₅).

The spelling of 301005 in words is "three hundred one thousand, five".