393013 has 2 divisors, whose sum is σ = 393014. Its totient is φ = 393012.

The previous prime is 393007. The next prime is 393017. The reversal of 393013 is 310393.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 338724 + 54289 = 582^2 + 233^2 .

It is a cyclic number.

It is not a de Polignac number, because 393013 - 2⁵ = 392981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (393017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 196506 + 196507.

It is an arithmetic number, because the mean of its divisors is an integer number (196507).

2³⁹³⁰¹³ is an apocalyptic number.

It is an amenable number.

393013 is a deficient number, since it is larger than the sum of its proper divisors (1).

393013 is an equidigital number, since it uses as much as digits as its factorization.

393013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 19.

The square root of 393013 is about 626.9074891880. The cubic root of 393013 is about 73.2491020946.

It can be divided in two parts, 39301 and 3, that added together give a cube (39304 = 34³).

The spelling of 393013 in words is "three hundred ninety-three thousand, thirteen".