34006561 has 6 divisors (see below), whose sum is σ = 35890962. Its totient is φ = 32216400.

The previous prime is 34006547. The next prime is 34006571. The reversal of 34006561 is 16560043.

It can be written as a sum of positive squares in only one way, i.e., 32706961 + 1299600 = 5719^2 + 1140^2 .

It is not a de Polignac number, because 34006561 - 2⁵ = 34006529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34006501) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46740 + ... + 47461.

It is an arithmetic number, because the mean of its divisors is an integer number (5981827).

Almost surely, 2^34006561 is an apocalyptic number.

It is an amenable number.

34006561 is a deficient number, since it is larger than the sum of its proper divisors (1884401).

34006561 is an equidigital number, since it uses as much as digits as its factorization.

34006561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94239 (or 94220 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 34006561 is about 5831.5144688151. The cubic root of 34006561 is about 323.9820171140.

The spelling of 34006561 in words is "thirty-four million, six thousand, five hundred sixty-one".