35824 has 10 divisors (see below), whose sum is σ = 69440. Its totient is φ = 17904.

The previous prime is 35809. The next prime is 35831. The reversal of 35824 is 42853.

35824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 35795 and 35804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1104 + ... + 1135.

It is an arithmetic number, because the mean of its divisors is an integer number (6944).

2³⁵⁸²⁴ is an apocalyptic number.

It is an amenable number.

35824 is a deficient number, since it is larger than the sum of its proper divisors (33616).

35824 is a wasteful number, since it uses less digits than its factorization.

35824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2241 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 35824 is about 189.2722906291. The cubic root of 35824 is about 32.9653753762.

The spelling of 35824 in words is "thirty-five thousand, eight hundred twenty-four".