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85285 = 537461
BaseRepresentation
bin10100110100100101
311022222201
4110310211
510212120
61454501
7503434
oct246445
9138881
1085285
1159092
1241431
132ca85
142311b
151a40a
hex14d25

85285 has 8 divisors (see below), whose sum is σ = 105336. Its totient is φ = 66240.

The previous prime is 85259. The next prime is 85297. The reversal of 85285 is 58258.

85285 = T6 + T7 + ... + T79.

85285 = 2062 + 2072.

It can be written as a sum of positive squares in 4 ways, for example, as 16641 + 68644 = 129^2 + 262^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 85285 - 213 = 77093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46 + ... + 415.

It is an arithmetic number, because the mean of its divisors is an integer number (13167).

285285 is an apocalyptic number.

85285 is the 185-th heptagonal number.

85285 is the 207-th centered square number.

It is an amenable number.

85285 is a deficient number, since it is larger than the sum of its proper divisors (20051).

85285 is a wasteful number, since it uses less digits than its factorization.

85285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503.

The product of its digits is 3200, while the sum is 28.

The square root of 85285 is about 292.0359566903. The cubic root of 85285 is about 44.0173829388.

The spelling of 85285 in words is "eighty-five thousand, two hundred eighty-five".

Divisors: 1 5 37 185 461 2305 17057 85285