35634 has 8 divisors (see below), whose sum is σ = 71280. Its totient is φ = 11876.

The previous prime is 35617. The next prime is 35671. The reversal of 35634 is 43653.

It is a sphenic number, since it is the product of 3 distinct primes.

35634 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 35634.

It is an unprimeable number.

35634 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 2964 + ... + 2975.

It is an arithmetic number, because the mean of its divisors is an integer number (8910).

2³⁵⁶³⁴ is an apocalyptic number.

35634 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35640).

35634 is a wasteful number, since it uses less digits than its factorization.

35634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5944.

The product of its digits is 1080, while the sum is 21.

The square root of 35634 is about 188.7697009586. The cubic root of 35634 is about 32.9069924747.

The spelling of 35634 in words is "thirty-five thousand, six hundred thirty-four".