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34086821 is a prime number
BaseRepresentation
bin1000001000000…
…1111110100101
32101010210022212
42002001332211
532211234241
63214333205
7562506326
oct202017645
971123285
1034086821
1118271a2a
12b4ba205
1370a6222
14475444d
152ed4beb
hex2081fa5

34086821 has 2 divisors, whose sum is σ = 34086822. Its totient is φ = 34086820.

The previous prime is 34086781. The next prime is 34086827. The reversal of 34086821 is 12868043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32433025 + 1653796 = 5695^2 + 1286^2 .

It is a cyclic number.

It is not a de Polignac number, because 34086821 - 26 = 34086757 is a prime.

It is a super-2 number, since 2×340868212 = 2323822731772082, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34086827) 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 as a sum of consecutive naturals, namely, 17043410 + 17043411.

It is an arithmetic number, because the mean of its divisors is an integer number (17043411).

Almost surely, 234086821 is an apocalyptic number.

It is an amenable number.

34086821 is a deficient number, since it is larger than the sum of its proper divisors (1).

34086821 is an equidigital number, since it uses as much as digits as its factorization.

34086821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 34086821 is about 5838.3919875253. The cubic root of 34086821 is about 324.2366970544.

The spelling of 34086821 in words is "thirty-four million, eighty-six thousand, eight hundred twenty-one".