35508 has 24 divisors (see below), whose sum is σ = 90720. Its totient is φ = 10720.

The previous prime is 35507. The next prime is 35509. The reversal of 35508 is 80553.

It is an interprime number because it is at equal distance from previous prime (35507) and next prime (35509).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3 + ... + 266.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2³⁵⁵⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360).

35508 is an abundant number, since it is smaller than the sum of its proper divisors (55212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35508 is a wasteful number, since it uses less digits than its factorization.

35508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 35508 is about 188.4356654140. The cubic root of 35508 is about 32.8681608562.

The spelling of 35508 in words is "thirty-five thousand, five hundred eight".