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85827 = 376167
BaseRepresentation
bin10100111101000011
311100201210
4110331003
510221302
61501203
7505140
oct247503
9140653
1085827
1159535
1241803
13300b1
14233c7
151a66c
hex14f43

85827 has 16 divisors (see below), whose sum is σ = 134912. Its totient is φ = 47520.

The previous prime is 85819. The next prime is 85829. The reversal of 85827 is 72858.

It is not a de Polignac number, because 85827 - 23 = 85819 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85794 and 85803.

It is not an unprimeable number, because it can be changed into a prime (85829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1248 + ... + 1314.

It is an arithmetic number, because the mean of its divisors is an integer number (8432).

285827 is an apocalyptic number.

85827 is a deficient number, since it is larger than the sum of its proper divisors (49085).

85827 is a wasteful number, since it uses less digits than its factorization.

85827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138.

The product of its digits is 4480, while the sum is 30.

The square root of 85827 is about 292.9624549324. The cubic root of 85827 is about 44.1104319704.

The spelling of 85827 in words is "eighty-five thousand, eight hundred twenty-seven".

Divisors: 1 3 7 21 61 67 183 201 427 469 1281 1407 4087 12261 28609 85827