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85714965 = 3257238873
BaseRepresentation
bin1010001101111…
…10100000010101
312222021202211100
411012332200111
5133420334330
612301100313
72060364600
oct506764025
9188252740
1085714965
1144424a16
1224857699
13149b171b
14b553337
1577d2060
hex51be815

85714965 has 36 divisors (see below), whose sum is σ = 172833804. Its totient is φ = 39182976.

The previous prime is 85714961. The next prime is 85715011. The reversal of 85714965 is 56941758.

It can be written as a sum of positive squares in 2 ways, for example, as 65707236 + 20007729 = 8106^2 + 4473^2 .

It is not a de Polignac number, because 85714965 - 22 = 85714961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 85714965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85714961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17232 + ... + 21641.

It is an arithmetic number, because the mean of its divisors is an integer number (4800939).

Almost surely, 285714965 is an apocalyptic number.

It is an amenable number.

85714965 is an abundant number, since it is smaller than the sum of its proper divisors (87118839).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85714965 is a wasteful number, since it uses less digits than its factorization.

85714965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38898 (or 38888 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 85714965 is about 9258.2376832743. The cubic root of 85714965 is about 440.9123030455.

The spelling of 85714965 in words is "eighty-five million, seven hundred fourteen thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 38873 116619 194365 272111 349857 583095 816333 1360555 1749285 1904777 2448999 4081665 5714331 9523885 12244995 17142993 28571655 85714965