Search a number
-
+
85789 = 112709
BaseRepresentation
bin10100111100011101
311100200101
4110330131
510221124
61501101
7505054
oct247435
9140611
1085789
1159500
1241791
1330082
142339b
151a644
hex14f1d

85789 has 6 divisors (see below), whose sum is σ = 94430. Its totient is φ = 77880.

The previous prime is 85781. The next prime is 85793. The reversal of 85789 is 98758.

It can be written as a sum of positive squares in only one way, i.e., 58564 + 27225 = 242^2 + 165^2 .

It is not a de Polignac number, because 85789 - 23 = 85781 is a prime.

It is a Duffinian number.

Its product of digits (20160) is a multiple of the sum of its prime divisors (720).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85781) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 234 + ... + 475.

285789 is an apocalyptic number.

It is an amenable number.

85789 is a deficient number, since it is larger than the sum of its proper divisors (8641).

85789 is a wasteful number, since it uses less digits than its factorization.

85789 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 720 counting only the distinct ones).

The product of its digits is 20160, while the sum is 37.

The square root of 85789 is about 292.8975930253. The cubic root of 85789 is about 44.1039210284.

It can be divided in two parts, 857 and 89, that added together give a triangular number (946 = T43).

The spelling of 85789 in words is "eighty-five thousand, seven hundred eighty-nine".

Divisors: 1 11 121 709 7799 85789