34645 has 12 divisors (see below), whose sum is σ = 46116. Its totient is φ = 24960.

The previous prime is 34631. The next prime is 34649. The reversal of 34645 is 54643.

34645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 15876 + 18769 = 126^2 + 137^2 .

It is not a de Polignac number, because 34645 - 2⁵ = 34613 is a prime.

It is a Duffinian number.

Its product of digits (1440) is a multiple of the sum of its prime factors (72).

It is a nialpdrome in base 16.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 825 + ... + 865.

It is an arithmetic number, because the mean of its divisors is an integer number (3843).

2³⁴⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

34645 is a deficient number, since it is larger than the sum of its proper divisors (11471).

34645 is a wasteful number, since it uses less digits than its factorization.

34645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 59 counting only the distinct ones).

The product of its digits is 1440, while the sum is 22.

The square root of 34645 is about 186.1316738226. The cubic root of 34645 is about 32.5996938760.

The spelling of 34645 in words is "thirty-four thousand, six hundred forty-five".