34361 has 2 divisors, whose sum is σ = 34362. Its totient is φ = 34360.

The previous prime is 34351. The next prime is 34367. The reversal of 34361 is 16343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32761 + 1600 = 181^2 + 40^2 .

It is a cyclic number.

It is not a de Polignac number, because 34361 - 2⁶ = 34297 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is not a weakly prime, because it can be changed into another prime (34367) 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, 17180 + 17181.

It is an arithmetic number, because the mean of its divisors is an integer number (17181).

2³⁴³⁶¹ is an apocalyptic number.

It is an amenable number.

34361 is a deficient number, since it is larger than the sum of its proper divisors (1).

34361 is an equidigital number, since it uses as much as digits as its factorization.

34361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 17.

The square root of 34361 is about 185.3672031401. The cubic root of 34361 is about 32.5103714434.

It can be divided in two parts, 343 and 61, that added together give a palindrome (404).

The spelling of 34361 in words is "thirty-four thousand, three hundred sixty-one".