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84745 = 517997
BaseRepresentation
bin10100101100001001
311022020201
4110230021
510202440
61452201
7502033
oct245411
9138221
1084745
1158741
1241061
132c75b
1422c53
151a19a
hex14b09

84745 has 8 divisors (see below), whose sum is σ = 107784. Its totient is φ = 63744.

The previous prime is 84737. The next prime is 84751. The reversal of 84745 is 54748.

It can be written as a sum of positive squares in 4 ways, for example, as 32761 + 51984 = 181^2 + 228^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 84745 - 23 = 84737 is a prime.

It is a Duffinian number.

84745 is a lucky number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 414 + ... + 583.

It is an arithmetic number, because the mean of its divisors is an integer number (13473).

284745 is an apocalyptic number.

84745 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

84745 is a deficient number, since it is larger than the sum of its proper divisors (23039).

84745 is a wasteful number, since it uses less digits than its factorization.

84745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019.

The product of its digits is 4480, while the sum is 28.

The square root of 84745 is about 291.1099448662. The cubic root of 84745 is about 43.9242843831.

It can be divided in two parts, 8 and 4745, that added together give a triangular number (4753 = T97).

The spelling of 84745 in words is "eighty-four thousand, seven hundred forty-five".

Divisors: 1 5 17 85 997 4985 16949 84745