35666 has 8 divisors (see below), whose sum is σ = 56700. Its totient is φ = 16768.

The previous prime is 35617. The next prime is 35671. The reversal of 35666 is 66653.

It can be written as a sum of positive squares in 2 ways, for example, as 30625 + 5041 = 175^2 + 71^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is an Ulam number.

It is a Curzon number.

It is a plaindrome in base 10.

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, 491 + ... + 558.

2³⁵⁶⁶⁶ is an apocalyptic number.

35666 is a deficient number, since it is larger than the sum of its proper divisors (21034).

35666 is a wasteful number, since it uses less digits than its factorization.

35666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068.

The product of its digits is 3240, while the sum is 26.

The square root of 35666 is about 188.8544413033. The cubic root of 35666 is about 32.9168398930.

The spelling of 35666 in words is "thirty-five thousand, six hundred sixty-six".