35663 has 4 divisors (see below), whose sum is σ = 37560. Its totient is φ = 33768.

The previous prime is 35617. The next prime is 35671. The reversal of 35663 is 36653.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 35663 - 2⁸ = 35407 is a prime.

It is a Duffinian number.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 920 + ... + 957.

It is an arithmetic number, because the mean of its divisors is an integer number (9390).

2³⁵⁶⁶³ is an apocalyptic number.

35663 is a deficient number, since it is larger than the sum of its proper divisors (1897).

35663 is a wasteful number, since it uses less digits than its factorization.

35663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896.

The product of its digits is 1620, while the sum is 23.

The square root of 35663 is about 188.8464985114. The cubic root of 35663 is about 32.9159169478.

Subtracting from 35663 its product of digits (1620), we obtain a palindrome (34043).

Subtracting 35663 from its reverse (36653), we obtain a triangular number (990 = T₄₄).

The spelling of 35663 in words is "thirty-five thousand, six hundred sixty-three".