35793 has 12 divisors (see below), whose sum is σ = 53508. Its totient is φ = 23040.

The previous prime is 35771. The next prime is 35797. The reversal of 35793 is 39753.

35793 is nontrivially palindromic in base 2.

35793 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7569 + 28224 = 87^2 + 168^2 .

It is not a de Polignac number, because 35793 - 2⁶ = 35729 is a prime.

It is a super-2 number, since 2×35793² = 2562277698, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (35797) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 321 + ... + 417.

It is an arithmetic number, because the mean of its divisors is an integer number (4459).

2³⁵⁷⁹³ is an apocalyptic number.

It is an amenable number.

35793 is a deficient number, since it is larger than the sum of its proper divisors (17715).

35793 is a wasteful number, since it uses less digits than its factorization.

35793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 141 counting only the distinct ones).

The product of its digits is 2835, while the sum is 27.

The square root of 35793 is about 189.1903803051. The cubic root of 35793 is about 32.9558638611.

It can be divided in two parts, 35 and 793, that added together give a palindrome (828).

The spelling of 35793 in words is "thirty-five thousand, seven hundred ninety-three".