34687 has 2 divisors, whose sum is σ = 34688. Its totient is φ = 34686.

The previous prime is 34679. The next prime is 34693. The reversal of 34687 is 78643.

It is a strong prime.

It is an emirp because it is prime and its reverse (78643) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34687 - 2³ = 34679 is a prime.

34687 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17343 + 17344.

It is an arithmetic number, because the mean of its divisors is an integer number (17344).

2³⁴⁶⁸⁷ is an apocalyptic number.

34687 is a deficient number, since it is larger than the sum of its proper divisors (1).

34687 is an equidigital number, since it uses as much as digits as its factorization.

34687 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4032, while the sum is 28.

The square root of 34687 is about 186.2444630049. The cubic root of 34687 is about 32.6128620506.

Subtracting 34687 from its reverse (78643), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 34687 in words is "thirty-four thousand, six hundred eighty-seven".