34643 has 8 divisors (see below), whose sum is σ = 40800. Its totient is φ = 29400.

The previous prime is 34631. The next prime is 34649.

It is a happy number.

34643 is nontrivially palindromic in base 10.

34643 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34643 - 2¹⁰ = 33619 is a prime.

It is a Duffinian number.

Its product of digits (864) is a multiple of the sum of its prime divisors (108).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (34649) 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, 293 + ... + 393.

It is an arithmetic number, because the mean of its divisors is an integer number (5100).

2³⁴⁶⁴³ is an apocalyptic number.

34643 is a deficient number, since it is larger than the sum of its proper divisors (6157).

34643 is an equidigital number, since it uses as much as digits as its factorization.

34643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its digits is 864, while the sum is 20.

The square root of 34643 is about 186.1263012043. The cubic root of 34643 is about 32.5990665546.

It can be divided in two parts, 346 and 43, that multiplied together give a triangular number (14878 = T₁₇₂).

The spelling of 34643 in words is "thirty-four thousand, six hundred forty-three".