35008 has 14 divisors (see below), whose sum is σ = 69596. Its totient is φ = 17472.

The previous prime is 34981. The next prime is 35023. The reversal of 35008 is 80053.

35008 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 34982 and 35000.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210 + ... + 337.

2³⁵⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

35008 is a deficient number, since it is larger than the sum of its proper divisors (34588).

35008 is an equidigital number, since it uses as much as digits as its factorization.

35008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 35008 is about 187.1042490164. The cubic root of 35008 is about 32.7131551530.

The spelling of 35008 in words is "thirty-five thousand, eight".