364005 has 12 divisors (see below), whose sum is σ = 631020. Its totient is φ = 194112.

The previous prime is 363989. The next prime is 364027. The reversal of 364005 is 500463.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 49284 + 314721 = 222^2 + 561^2 .

It is not a de Polignac number, because 364005 - 2⁴ = 363989 is a prime.

364005 is a lucky number.

It is a plaindrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 364005.

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, 4000 + ... + 4089.

It is an arithmetic number, because the mean of its divisors is an integer number (52585).

2³⁶⁴⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

364005 is a deficient number, since it is larger than the sum of its proper divisors (267015).

364005 is a wasteful number, since it uses less digits than its factorization.

364005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8100 (or 8097 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 364005 is about 603.3282688554. The cubic root of 364005 is about 71.4006967425.

Adding to 364005 its reverse (500463), we get a palindrome (864468).

The spelling of 364005 in words is "three hundred sixty-four thousand, five".