34659 has 6 divisors (see below), whose sum is σ = 50076. Its totient is φ = 23100.

The previous prime is 34651. The next prime is 34667. The reversal of 34659 is 95643.

It is a happy number.

34659 is a `hidden beast` number, since 3 + 4 + 659 = 666.

34659 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34651) and next prime (34667).

It is not a de Polignac number, because 34659 - 2³ = 34651 is a prime.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34659.

It is not an unprimeable number, because it can be changed into a prime (34651) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1917 + ... + 1934.

It is an arithmetic number, because the mean of its divisors is an integer number (8346).

2³⁴⁶⁵⁹ is an apocalyptic number.

34659 is a deficient number, since it is larger than the sum of its proper divisors (15417).

34659 is a wasteful number, since it uses less digits than its factorization.

34659 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3857 (or 3854 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 34659 is about 186.1692778092. The cubic root of 34659 is about 32.6040844494.

The spelling of 34659 in words is "thirty-four thousand, six hundred fifty-nine".