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84937 = 157541
BaseRepresentation
bin10100101111001001
311022111211
4110233021
510204222
61453121
7502426
oct245711
9138454
1084937
11588a6
12411a1
132c878
1422d4d
151a277
hex14bc9

84937 has 4 divisors (see below), whose sum is σ = 85636. Its totient is φ = 84240.

The previous prime is 84919. The next prime is 84947. The reversal of 84937 is 73948.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 29241 + 55696 = 171^2 + 236^2 .

It is a cyclic number.

It is not a de Polignac number, because 84937 - 27 = 84809 is a prime.

It is a Duffinian number.

84937 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 84899 and 84908.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84937.

It is not an unprimeable number, because it can be changed into a prime (84947) 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, 114 + ... + 427.

It is an arithmetic number, because the mean of its divisors is an integer number (21409).

284937 is an apocalyptic number.

It is an amenable number.

84937 is a deficient number, since it is larger than the sum of its proper divisors (699).

84937 is a wasteful number, since it uses less digits than its factorization.

84937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698.

The product of its digits is 6048, while the sum is 31.

The square root of 84937 is about 291.4395306063. The cubic root of 84937 is about 43.9574312811.

It can be divided in two parts, 849 and 37, that multiplied together give a palindrome (31413).

The spelling of 84937 in words is "eighty-four thousand, nine hundred thirty-seven".

Divisors: 1 157 541 84937