2005369 has 2 divisors, whose sum is σ = 2005370. Its totient is φ = 2005368.

The previous prime is 2005343. The next prime is 2005373. The reversal of 2005369 is 9635002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1960000 + 45369 = 1400^2 + 213^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005369 - 2¹¹ = 2003321 is a prime.

It is a super-3 number, since 3×2005369³ = 24193803335200975227, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2005319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002684 + 1002685.

It is an arithmetic number, because the mean of its divisors is an integer number (1002685).

2^2005369 is an apocalyptic number.

It is an amenable number.

2005369 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005369 is an equidigital number, since it uses as much as digits as its factorization.

2005369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 2005369 is about 1416.1105182859. The cubic root of 2005369 is about 126.1047461897.

The spelling of 2005369 in words is "two million, five thousand, three hundred sixty-nine".