35643 has 6 divisors (see below), whose sum is σ = 47964. Its totient is φ = 23544.

The previous prime is 35617. The next prime is 35671. The reversal of 35643 is 34653.

It is not a de Polignac number, because 35643 - 2¹² = 31547 is a prime.

35643 is a lucky number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (35603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 273 + ... + 381.

It is an arithmetic number, because the mean of its divisors is an integer number (7994).

2³⁵⁶⁴³ is an apocalyptic number.

35643 is a deficient number, since it is larger than the sum of its proper divisors (12321).

35643 is an equidigital number, since it uses as much as digits as its factorization.

35643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 112 counting only the distinct ones).

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

The square root of 35643 is about 188.7935380250. The cubic root of 35643 is about 32.9097626568.

Subtracting from 35643 its reverse (34653), we obtain a triangular number (990 = T₄₄).

The spelling of 35643 in words is "thirty-five thousand, six hundred forty-three".