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82257 = 373917
BaseRepresentation
bin10100000101010001
311011211120
4110011101
510113012
61432453
7461550
oct240521
9134746
1082257
115688a
123b729
132b596
1421d97
151958c
hex14151

82257 has 8 divisors (see below), whose sum is σ = 125376. Its totient is φ = 46992.

The previous prime is 82241. The next prime is 82261. The reversal of 82257 is 75228.

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

It is not a de Polignac number, because 82257 - 24 = 82241 is a prime.

It is an Ulam number.

82257 is a lucky number.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (82207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1938 + ... + 1979.

It is an arithmetic number, because the mean of its divisors is an integer number (15672).

282257 is an apocalyptic number.

It is an amenable number.

82257 is a deficient number, since it is larger than the sum of its proper divisors (43119).

82257 is a wasteful number, since it uses less digits than its factorization.

82257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3927.

The product of its digits is 1120, while the sum is 24.

The square root of 82257 is about 286.8048116751. The cubic root of 82257 is about 43.4901549923.

It can be divided in two parts, 8225 and 7, that multiplied together give a palindrome (57575).

The spelling of 82257 in words is "eighty-two thousand, two hundred fifty-seven".

Divisors: 1 3 7 21 3917 11751 27419 82257