204013 has 2 divisors, whose sum is σ = 204014. Its totient is φ = 204012.

The previous prime is 204007. The next prime is 204019. The reversal of 204013 is 310402.

It is a balanced prime because it is at equal distance from previous prime (204007) and next prime (204019).

It can be written as a sum of positive squares in only one way, i.e., 195364 + 8649 = 442^2 + 93^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-204013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (204019) by changing a digit.

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 as a sum of consecutive naturals, namely, 102006 + 102007.

It is an arithmetic number, because the mean of its divisors is an integer number (102007).

2²⁰⁴⁰¹³ is an apocalyptic number.

It is an amenable number.

204013 is a deficient number, since it is larger than the sum of its proper divisors (1).

204013 is an equidigital number, since it uses as much as digits as its factorization.

204013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 204013 is about 451.6779826381. The cubic root of 204013 is about 58.8689035990.

Adding to 204013 its reverse (310402), we get a palindrome (514415).

The spelling of 204013 in words is "two hundred four thousand, thirteen".