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84257 = 109773
BaseRepresentation
bin10100100100100001
311021120122
4110210201
510144012
61450025
7500435
oct244441
9137518
1084257
1158338
1240915
132c474
14229c5
1519e72
hex14921

84257 has 4 divisors (see below), whose sum is σ = 85140. Its totient is φ = 83376.

The previous prime is 84247. The next prime is 84263. The reversal of 84257 is 75248.

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 28561 + 55696 = 169^2 + 236^2 .

It is a cyclic number.

It is not a de Polignac number, because 84257 - 210 = 83233 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84257.

It is not an unprimeable number, because it can be changed into a prime (84247) 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, 278 + ... + 495.

It is an arithmetic number, because the mean of its divisors is an integer number (21285).

284257 is an apocalyptic number.

It is an amenable number.

84257 is a deficient number, since it is larger than the sum of its proper divisors (883).

84257 is a wasteful number, since it uses less digits than its factorization.

84257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882.

The product of its digits is 2240, while the sum is 26.

The square root of 84257 is about 290.2705634404. The cubic root of 84257 is about 43.8398100694.

Subtracting from 84257 its reverse (75248), we obtain a palindrome (9009).

The spelling of 84257 in words is "eighty-four thousand, two hundred fifty-seven".

Divisors: 1 109 773 84257