34807 has 2 divisors, whose sum is σ = 34808. Its totient is φ = 34806.

The previous prime is 34781. The next prime is 34819. The reversal of 34807 is 70843.

It is a strong prime.

It is an emirp because it is prime and its reverse (70843) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34807 - 2⁷ = 34679 is a prime.

34807 is a lucky number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34847) 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, 17403 + 17404.

It is an arithmetic number, because the mean of its divisors is an integer number (17404).

2³⁴⁸⁰⁷ is an apocalyptic number.

34807 is a deficient number, since it is larger than the sum of its proper divisors (1).

34807 is an equidigital number, since it uses as much as digits as its factorization.

34807 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 34807 is about 186.5663420877. The cubic root of 34807 is about 32.6504269319.

It can be divided in two parts, 34 and 807, that added together give a square (841 = 29²).

The spelling of 34807 in words is "thirty-four thousand, eight hundred seven".