39313 has 2 divisors, whose sum is σ = 39314. Its totient is φ = 39312.

The previous prime is 39301. The next prime is 39317. The reversal of 39313 is 31393.

It is a happy number.

39313 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35344 + 3969 = 188^2 + 63^2 .

It is an emirp because it is prime and its reverse (31393) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 39313 - 2¹³ = 31121 is a prime.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (39317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19656 + 19657.

It is an arithmetic number, because the mean of its divisors is an integer number (19657).

39313 is a Friedman number, since it can be written as 9+(31+3)^3, using all its digits and the basic arithmetic operations.

2³⁹³¹³ is an apocalyptic number.

It is an amenable number.

39313 is a deficient number, since it is larger than the sum of its proper divisors (1).

39313 is an equidigital number, since it uses as much as digits as its factorization.

39313 is an odious number, because the sum of its binary digits is odd.

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

The square root of 39313 is about 198.2750614676. The cubic root of 39313 is about 34.0025949577.

It can be divided in two parts, 393 and 13, that added together give a triangular number (406 = T₂₈).

The spelling of 39313 in words is "thirty-nine thousand, three hundred thirteen".