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85814977 is a prime number
BaseRepresentation
bin1010001110101…
…10111011000001
312222110212000111
411013112323001
5133432034402
612303151321
72061262303
oct507267301
9188425014
1085814977
1144493076
12248a5541
1314a180c1
14b57b973
1578019d7
hex51d6ec1

85814977 has 2 divisors, whose sum is σ = 85814978. Its totient is φ = 85814976.

The previous prime is 85814947. The next prime is 85814999. The reversal of 85814977 is 77941858.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81649296 + 4165681 = 9036^2 + 2041^2 .

It is a cyclic number.

It is not a de Polignac number, because 85814977 - 223 = 77426369 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85814977.

It is not a weakly prime, because it can be changed into another prime (85814947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42907488 + 42907489.

It is an arithmetic number, because the mean of its divisors is an integer number (42907489).

Almost surely, 285814977 is an apocalyptic number.

It is an amenable number.

85814977 is a deficient number, since it is larger than the sum of its proper divisors (1).

85814977 is an equidigital number, since it uses as much as digits as its factorization.

85814977 is an evil number, because the sum of its binary digits is even.

The product of its digits is 564480, while the sum is 49.

The square root of 85814977 is about 9263.6373525738. The cubic root of 85814977 is about 441.0837215051.

The spelling of 85814977 in words is "eighty-five million, eight hundred fourteen thousand, nine hundred seventy-seven".