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85785725 = 5210931481
BaseRepresentation
bin1010001110011…
…11110001111101
312222102100220002
411013033301331
5133430120400
612302404045
72061111104
oct507176175
9188370802
1085785725
11444730a3
1224890625
1314a079ac
14b57103b
1577e7ed5
hex51cfc7d

85785725 has 12 divisors (see below), whose sum is σ = 107353620. Its totient is φ = 67996800.

The previous prime is 85785719. The next prime is 85785727. The reversal of 85785725 is 52758758.

It can be written as a sum of positive squares in 6 ways, for example, as 7958041 + 77827684 = 2821^2 + 8822^2 .

It is a de Polignac number, because none of the positive numbers 2k-85785725 is a prime.

It is a super-2 number, since 2×857857252 = 14718381227551250, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 85785725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85785727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13016 + ... + 18465.

It is an arithmetic number, because the mean of its divisors is an integer number (8946135).

Almost surely, 285785725 is an apocalyptic number.

It is an amenable number.

85785725 is a deficient number, since it is larger than the sum of its proper divisors (21567895).

85785725 is a wasteful number, since it uses less digits than its factorization.

85785725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31600 (or 31595 counting only the distinct ones).

The product of its digits is 784000, while the sum is 47.

The square root of 85785725 is about 9262.0583565426. The cubic root of 85785725 is about 441.0335979805.

The spelling of 85785725 in words is "eighty-five million, seven hundred eighty-five thousand, seven hundred twenty-five".

Divisors: 1 5 25 109 545 2725 31481 157405 787025 3431429 17157145 85785725