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85769 = 199431
BaseRepresentation
bin10100111100001001
311100122122
4110330021
510221034
61501025
7505025
oct247411
9140578
1085769
1159492
1241775
1330068
1423385
151a62e
hex14f09

85769 has 4 divisors (see below), whose sum is σ = 86400. Its totient is φ = 85140.

The previous prime is 85751. The next prime is 85781. The reversal of 85769 is 96758.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 85769 - 28 = 85513 is a prime.

It is a super-2 number, since 2×857692 = 14712642722, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (15120) is a multiple of the sum of its prime divisors (630).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85369) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17 + ... + 414.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

285769 is an apocalyptic number.

It is an amenable number.

85769 is a deficient number, since it is larger than the sum of its proper divisors (631).

85769 is a wasteful number, since it uses less digits than its factorization.

85769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630.

The product of its digits is 15120, while the sum is 35.

The square root of 85769 is about 292.8634494094. The cubic root of 85769 is about 44.1004934446.

The spelling of 85769 in words is "eighty-five thousand, seven hundred sixty-nine".

Divisors: 1 199 431 85769