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85933769 is a prime number
BaseRepresentation
bin1010001111100…
…11111011001001
312222200212222012
411013303323021
5133444340034
612305505305
72062265525
oct507637311
9188625865
1085933769
1144564349
1224942235
1314a5a1ac
14b5acd85
157826cce
hex51f3ec9

85933769 has 2 divisors, whose sum is σ = 85933770. Its totient is φ = 85933768.

The previous prime is 85933741. The next prime is 85933777. The reversal of 85933769 is 96733958.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45738169 + 40195600 = 6763^2 + 6340^2 .

It is a cyclic number.

It is not a de Polignac number, because 85933769 - 28 = 85933513 is a prime.

It is a super-2 number, since 2×859337692 = 14769225309090722, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (85933709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42966884 + 42966885.

It is an arithmetic number, because the mean of its divisors is an integer number (42966885).

Almost surely, 285933769 is an apocalyptic number.

It is an amenable number.

85933769 is a deficient number, since it is larger than the sum of its proper divisors (1).

85933769 is an equidigital number, since it uses as much as digits as its factorization.

85933769 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1224720, while the sum is 50.

The square root of 85933769 is about 9270.0468715104. The cubic root of 85933769 is about 441.2871555302.

The spelling of 85933769 in words is "eighty-five million, nine hundred thirty-three thousand, seven hundred sixty-nine".