34667 has 2 divisors, whose sum is σ = 34668. Its totient is φ = 34666.

The previous prime is 34651. The next prime is 34673. The reversal of 34667 is 76643.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 34667 - 2⁴ = 34651 is a prime.

It is a Chen prime.

It is a plaindrome in base 10.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17333 + 17334.

It is an arithmetic number, because the mean of its divisors is an integer number (17334).

2³⁴⁶⁶⁷ is an apocalyptic number.

34667 is a deficient number, since it is larger than the sum of its proper divisors (1).

34667 is an equidigital number, since it uses as much as digits as its factorization.

34667 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 26.

The square root of 34667 is about 186.1907623917. The cubic root of 34667 is about 32.6065928177.

The spelling of 34667 in words is "thirty-four thousand, six hundred sixty-seven".