34000561 has 21 divisors (see below), whose sum is σ = 42137899. Its totient is φ = 27429024.

The previous prime is 34000541. The next prime is 34000591. The reversal of 34000561 is 16500043.

The square root of 34000561 is 5831.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 26471025 + 7529536 = 5145^2 + 2744^2 .

It is not a de Polignac number, because 34000561 - 2⁵ = 34000529 is a prime.

It is a Duffinian number.

34000561 is a modest number, since divided by 561 gives 34 as remainder.

It is not an unprimeable number, because it can be changed into a prime (34000501) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2000025 + ... + 2000041.

Almost surely, 2^34000561 is an apocalyptic number.

34000561 is the 5831-st square number.

34000561 is the 2916-th centered octagonal number.

It is an amenable number.

34000561 is a deficient number, since it is larger than the sum of its proper divisors (8137338).

34000561 is an frugal number, since it uses more digits than its factorization.

34000561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The cubic root of 34000561 is about 323.9629619044.

The spelling of 34000561 in words is "thirty-four million, five hundred sixty-one", and thus it is an aban number.