34633 has 4 divisors (see below), whose sum is σ = 35280. Its totient is φ = 33988.

The previous prime is 34631. The next prime is 34649. The reversal of 34633 is 33643.

It is a happy number.

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, and also an emirpimes, since its reverse is a distinct semiprime: 33643 = 17 ⋅1979.

It is a cyclic number.

It is not a de Polignac number, because 34633 - 2¹ = 34631 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34633.

It is not an unprimeable number, because it can be changed into a prime (34631) 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, 235 + ... + 352.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2³⁴⁶³³ is an apocalyptic number.

34633 is the 118-th heptagonal number.

It is an amenable number.

34633 is a deficient number, since it is larger than the sum of its proper divisors (647).

34633 is an equidigital number, since it uses as much as digits as its factorization.

34633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646.

The product of its digits is 648, while the sum is 19.

The square root of 34633 is about 186.0994357864. The cubic root of 34633 is about 32.5959295858.

Subtracting from 34633 its reverse (33643), we obtain a triangular number (990 = T₄₄).

The spelling of 34633 in words is "thirty-four thousand, six hundred thirty-three".