35733 has 8 divisors (see below), whose sum is σ = 48928. Its totient is φ = 23184.

The previous prime is 35731. The next prime is 35747. The reversal of 35733 is 33753.

35733 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 35733 - 2¹ = 35731 is a prime.

It is a Duffinian 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 (35731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10 + ... + 267.

It is an arithmetic number, because the mean of its divisors is an integer number (6116).

2³⁵⁷³³ is an apocalyptic number.

It is an amenable number.

35733 is a deficient number, since it is larger than the sum of its proper divisors (13195).

35733 is a wasteful number, since it uses less digits than its factorization.

35733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323.

The product of its digits is 945, while the sum is 21.

The square root of 35733 is about 189.0317433660. The cubic root of 35733 is about 32.9374388642.

It can be divided in two parts, 357 and 33, that multiplied together give a triangular number (11781 = T₁₅₃).

The spelling of 35733 in words is "thirty-five thousand, seven hundred thirty-three".