35709 has 4 divisors (see below), whose sum is σ = 47616. Its totient is φ = 23804.

The previous prime is 35677. The next prime is 35729. The reversal of 35709 is 90753.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 35709 - 2⁵ = 35677 is a prime.

It is a D-number.

It is a Curzon number.

35709 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35729) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5949 + ... + 5954.

It is an arithmetic number, because the mean of its divisors is an integer number (11904).

2³⁵⁷⁰⁹ is an apocalyptic number.

It is an amenable number.

35709 is a deficient number, since it is larger than the sum of its proper divisors (11907).

35709 is a wasteful number, since it uses less digits than its factorization.

35709 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11906.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 35709 is about 188.9682513016. The cubic root of 35709 is about 32.9300630903.

The spelling of 35709 in words is "thirty-five thousand, seven hundred nine".