35764 has 6 divisors (see below), whose sum is σ = 62594. Its totient is φ = 17880.

The previous prime is 35759. The next prime is 35771. The reversal of 35764 is 46753.

35764 is nontrivially palindromic in base 3.

35764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 32400 + 3364 = 180^2 + 58^2 .

It is a super-3 number, since 3×35764³ = 137233302071232, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4467 + ... + 4474.

2³⁵⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

35764 is a deficient number, since it is larger than the sum of its proper divisors (26830).

35764 is a wasteful number, since it uses less digits than its factorization.

35764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8945 (or 8943 counting only the distinct ones).

The product of its digits is 2520, while the sum is 25.

The square root of 35764 is about 189.1137224000. The cubic root of 35764 is about 32.9469610190.

The spelling of 35764 in words is "thirty-five thousand, seven hundred sixty-four".