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85862401 is a prime number
BaseRepresentation
bin1010001111000…
…10100000000001
312222120021001221
411013202200001
5133440044101
612304155041
72061550462
oct507424001
9188507057
1085862401
1144515769
1224908a81
1314a33871
14b590d69
157810aa1
hex51e2801

85862401 has 2 divisors, whose sum is σ = 85862402. Its totient is φ = 85862400.

The previous prime is 85862347. The next prime is 85862407. The reversal of 85862401 is 10426858.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84364225 + 1498176 = 9185^2 + 1224^2 .

It is a cyclic number.

It is not a de Polignac number, because 85862401 - 29 = 85861889 is a prime.

It is not a weakly prime, because it can be changed into another prime (85862407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42931200 + 42931201.

It is an arithmetic number, because the mean of its divisors is an integer number (42931201).

Almost surely, 285862401 is an apocalyptic number.

It is an amenable number.

85862401 is a deficient number, since it is larger than the sum of its proper divisors (1).

85862401 is an equidigital number, since it uses as much as digits as its factorization.

85862401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 85862401 is about 9266.1966847245. The cubic root of 85862401 is about 441.1649586933.

The spelling of 85862401 in words is "eighty-five million, eight hundred sixty-two thousand, four hundred one".