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32768641 is a prime number
BaseRepresentation
bin111110100000…
…0001010000001
32021122211010101
41331000022001
531342044031
63130202401
7545346253
oct175001201
967584111
1032768641
1117551624
12ab83401
136a34239
1444cdcd3
152d24361
hex1f40281

32768641 has 2 divisors, whose sum is σ = 32768642. Its totient is φ = 32768640.

The previous prime is 32768611. The next prime is 32768653. The reversal of 32768641 is 14686723.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32160241 + 608400 = 5671^2 + 780^2 .

It is a cyclic number.

It is not a de Polignac number, because 32768641 - 27 = 32768513 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 32768641.

It is not a weakly prime, because it can be changed into another prime (32768611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16384320 + 16384321.

It is an arithmetic number, because the mean of its divisors is an integer number (16384321).

Almost surely, 232768641 is an apocalyptic number.

It is an amenable number.

32768641 is a deficient number, since it is larger than the sum of its proper divisors (1).

32768641 is an equidigital number, since it uses as much as digits as its factorization.

32768641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384, while the sum is 37.

The square root of 32768641 is about 5724.3900111715. The cubic root of 32768641 is about 320.0020865749.

The spelling of 32768641 in words is "thirty-two million, seven hundred sixty-eight thousand, six hundred forty-one".