35646 has 16 divisors (see below), whose sum is σ = 76944. Its totient is φ = 10944.

The previous prime is 35617. The next prime is 35671. The reversal of 35646 is 64653.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151 + ... + 306.

It is an arithmetic number, because the mean of its divisors is an integer number (4809).

2³⁵⁶⁴⁶ is an apocalyptic number.

35646 is an abundant number, since it is smaller than the sum of its proper divisors (41298).

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 (38472).

35646 is a wasteful number, since it uses less digits than its factorization.

35646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475.

The product of its digits is 2160, while the sum is 24.

The square root of 35646 is about 188.8014830450. The cubic root of 35646 is about 32.9106859472.

It can be divided in two parts, 3564 and 6, that added together give a triangular number (3570 = T₈₄).

The spelling of 35646 in words is "thirty-five thousand, six hundred forty-six".