35684 has 12 divisors (see below), whose sum is σ = 68208. Its totient is φ = 16200.

The previous prime is 35677. The next prime is 35729. The reversal of 35684 is 48653.

It is an unprimeable 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, 362 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (5684).

35684 is a Friedman number, since it can be written as 8^5+4*3^6, using all its digits and the basic arithmetic operations.

2³⁵⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

35684 is a deficient number, since it is larger than the sum of its proper divisors (32524).

35684 is a wasteful number, since it uses less digits than its factorization.

35684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 824 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 35684 is about 188.9020910419. The cubic root of 35684 is about 32.9223764775.

The spelling of 35684 in words is "thirty-five thousand, six hundred eighty-four".