35633 has 4 divisors (see below), whose sum is σ = 38388. Its totient is φ = 32880.

The previous prime is 35617. The next prime is 35671. The reversal of 35633 is 33653.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 33653 = 73 ⋅461.

It can be written as a sum of positive squares in 2 ways, for example, as 7744 + 27889 = 88^2 + 167^2 .

It is a cyclic number.

It is not a de Polignac number, because 35633 - 2⁴ = 35617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1358 + ... + 1383.

It is an arithmetic number, because the mean of its divisors is an integer number (9597).

2³⁵⁶³³ is an apocalyptic number.

It is an amenable number.

35633 is a deficient number, since it is larger than the sum of its proper divisors (2755).

35633 is a wasteful number, since it uses less digits than its factorization.

35633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754.

The product of its digits is 810, while the sum is 20.

The square root of 35633 is about 188.7670522099. The cubic root of 35633 is about 32.9066846479.

Adding to 35633 its sum of digits (20), we get a palindrome (35653).

It can be divided in two parts, 35 and 633, that multiplied together give a triangular number (22155 = T₂₁₀).

The spelling of 35633 in words is "thirty-five thousand, six hundred thirty-three".