34556561 has 8 divisors (see below), whose sum is σ = 37825704. Its totient is φ = 31374720.

The previous prime is 34556507. The next prime is 34556569. The reversal of 34556561 is 16565543.

It can be written as a sum of positive squares in 4 ways, for example, as 1849600 + 32706961 = 1360^2 + 5719^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34556561 - 2¹⁸ = 34294417 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34556569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20996 + ... + 22581.

It is an arithmetic number, because the mean of its divisors is an integer number (4728213).

Almost surely, 2^34556561 is an apocalyptic number.

It is an amenable number.

34556561 is a deficient number, since it is larger than the sum of its proper divisors (3269143).

34556561 is a wasteful number, since it uses less digits than its factorization.

34556561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43651.

The product of its digits is 54000, while the sum is 35.

The square root of 34556561 is about 5878.4828825131. The cubic root of 34556561 is about 325.7193093712.

The spelling of 34556561 in words is "thirty-four million, five hundred fifty-six thousand, five hundred sixty-one".