34693 has 2 divisors, whose sum is σ = 34694. Its totient is φ = 34692.

The previous prime is 34687. The next prime is 34703. The reversal of 34693 is 39643.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31329 + 3364 = 177^2 + 58^2 .

It is a cyclic number.

It is not a de Polignac number, because 34693 - 2¹³ = 26501 is a prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34603) 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, 17346 + 17347.

It is an arithmetic number, because the mean of its divisors is an integer number (17347).

2³⁴⁶⁹³ is an apocalyptic number.

It is an amenable number.

34693 is a deficient number, since it is larger than the sum of its proper divisors (1).

34693 is an equidigital number, since it uses as much as digits as its factorization.

34693 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 25.

The square root of 34693 is about 186.2605701699. The cubic root of 34693 is about 32.6147423505.

Subtracting 34693 from its reverse (39643), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 34 and 693, that added together give a palindrome (727).

The spelling of 34693 in words is "thirty-four thousand, six hundred ninety-three".