35775 has 24 divisors (see below), whose sum is σ = 66960. Its totient is φ = 18720.

The previous prime is 35771. The next prime is 35797. The reversal of 35775 is 57753.

Added to its reverse (57753) it gives a triangular number (93528 = T₄₃₂).

It is not a de Polignac number, because 35775 - 2² = 35771 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13 and base 16.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35775.

It is not an unprimeable number, because it can be changed into a prime (35771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649 + ... + 701.

It is an arithmetic number, because the mean of its divisors is an integer number (2790).

2³⁵⁷⁷⁵ is an apocalyptic number.

35775 is a deficient number, since it is larger than the sum of its proper divisors (31185).

35775 is a wasteful number, since it uses less digits than its factorization.

35775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 61 counting only the distinct ones).

The product of its digits is 3675, while the sum is 27.

The square root of 35775 is about 189.1428031938. The cubic root of 35775 is about 32.9503385254.

Adding to 35775 its reverse (57753), we get a triangular number (93528 = T₄₃₂).

It can be divided in two parts, 3 and 5775, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 35775 in words is "thirty-five thousand, seven hundred seventy-five".