43013 has 2 divisors, whose sum is σ = 43014. Its totient is φ = 43012.

The previous prime is 43003. The next prime is 43019. The reversal of 43013 is 31034.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40804 + 2209 = 202^2 + 47^2 .

It is a cyclic number.

It is not a de Polignac number, because 43013 - 2¹² = 38917 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 42985 and 43003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (43019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21506 + 21507.

It is an arithmetic number, because the mean of its divisors is an integer number (21507).

2⁴³⁰¹³ is an apocalyptic number.

It is an amenable number.

43013 is a deficient number, since it is larger than the sum of its proper divisors (1).

43013 is an equidigital number, since it uses as much as digits as its factorization.

43013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 43013 is about 207.3957569479. The cubic root of 43013 is about 35.0375108043.

Adding to 43013 its reverse (31034), we get a palindrome (74047).

The spelling of 43013 in words is "forty-three thousand, thirteen".