34313 has 2 divisors, whose sum is σ = 34314. Its totient is φ = 34312.

The previous prime is 34303. The next prime is 34319. The reversal of 34313 is 31343.

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., 26569 + 7744 = 163^2 + 88^2 .

It is a cyclic number.

It is not a de Polignac number, because 34313 - 2⁴ = 34297 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34319) 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, 17156 + 17157.

It is an arithmetic number, because the mean of its divisors is an integer number (17157).

2³⁴³¹³ is an apocalyptic number.

It is an amenable number.

34313 is a deficient number, since it is larger than the sum of its proper divisors (1).

34313 is an equidigital number, since it uses as much as digits as its factorization.

34313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108, while the sum is 14.

The square root of 34313 is about 185.2376851507. The cubic root of 34313 is about 32.4952261233.

Adding to 34313 its reverse (31343), we get a palindrome (65656).

The spelling of 34313 in words is "thirty-four thousand, three hundred thirteen".