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85466401 is a prime number
BaseRepresentation
bin1010001100000…
…01110100100001
312221211010212021
411012001310201
5133334411101
612251501441
72055311116
oct506016441
9187733767
1085466401
1144275199
1224757881
1314925547
14b4ca90d
1577835a1
hex5181d21

85466401 has 2 divisors, whose sum is σ = 85466402. Its totient is φ = 85466400.

The previous prime is 85466399. The next prime is 85466417. The reversal of 85466401 is 10466458.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54774801 + 30691600 = 7401^2 + 5540^2 .

It is a cyclic number.

It is not a de Polignac number, because 85466401 - 21 = 85466399 is a prime.

Together with 85466399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (85466441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42733200 + 42733201.

It is an arithmetic number, because the mean of its divisors is an integer number (42733201).

Almost surely, 285466401 is an apocalyptic number.

It is an amenable number.

85466401 is a deficient number, since it is larger than the sum of its proper divisors (1).

85466401 is an equidigital number, since it uses as much as digits as its factorization.

85466401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 85466401 is about 9244.8040000857. The cubic root of 85466401 is about 440.4856912925.

The spelling of 85466401 in words is "eighty-five million, four hundred sixty-six thousand, four hundred one".