35766 has 12 divisors (see below), whose sum is σ = 77532. Its totient is φ = 11916.

The previous prime is 35759. The next prime is 35771. The reversal of 35766 is 66753.

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

35766 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 976 + ... + 1011.

It is an arithmetic number, because the mean of its divisors is an integer number (6461).

2³⁵⁷⁶⁶ is an apocalyptic number.

35766 is an abundant number, since it is smaller than the sum of its proper divisors (41766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35766 is a wasteful number, since it uses less digits than its factorization.

35766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1992 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 35766 is about 189.1190101497. The cubic root of 35766 is about 32.9475751626.

The spelling of 35766 in words is "thirty-five thousand, seven hundred sixty-six".