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34666561 is a prime number
BaseRepresentation
bin1000010000111…
…1100001000001
32102020020120201
42010033201001
532333312221
63235005201
7600442456
oct204174101
972206521
1034666561
1118628556
12b739801
13724a077
14486582d
15309b891
hex210f841

34666561 has 2 divisors, whose sum is σ = 34666562. Its totient is φ = 34666560.

The previous prime is 34666559. The next prime is 34666573. The reversal of 34666561 is 16566643.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31708161 + 2958400 = 5631^2 + 1720^2 .

It is a cyclic number.

It is not a de Polignac number, because 34666561 - 21 = 34666559 is a prime.

Together with 34666559, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 34666561.

It is not a weakly prime, because it can be changed into another prime (34666061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17333280 + 17333281.

It is an arithmetic number, because the mean of its divisors is an integer number (17333281).

Almost surely, 234666561 is an apocalyptic number.

It is an amenable number.

34666561 is a deficient number, since it is larger than the sum of its proper divisors (1).

34666561 is an equidigital number, since it uses as much as digits as its factorization.

34666561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 77760, while the sum is 37.

The square root of 34666561 is about 5887.8316042496. The cubic root of 34666561 is about 326.0645518100.

The spelling of 34666561 in words is "thirty-four million, six hundred sixty-six thousand, five hundred sixty-one".