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82937 = 197421
BaseRepresentation
bin10100001111111001
311012202202
4110033321
510123222
61435545
7463541
oct241771
9135682
1082937
1157348
123bbb5
132b99a
1422321
1519892
hex143f9

82937 has 4 divisors (see below), whose sum is σ = 83556. Its totient is φ = 82320.

The previous prime is 82913. The next prime is 82939. The reversal of 82937 is 73928.

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 38416 + 44521 = 196^2 + 211^2 .

It is a cyclic number.

It is not a de Polignac number, because 82937 - 214 = 66553 is a prime.

It is a d-powerful number, because it can be written as 8 + 29 + 94 + 310 + 75 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82939) 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, 14 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (20889).

282937 is an apocalyptic number.

It is an amenable number.

82937 is a deficient number, since it is larger than the sum of its proper divisors (619).

82937 is a wasteful number, since it uses less digits than its factorization.

82937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618.

The product of its digits is 3024, while the sum is 29.

The square root of 82937 is about 287.9878469658. The cubic root of 82937 is about 43.6096673566.

Subtracting from 82937 its reverse (73928), we obtain a palindrome (9009).

The spelling of 82937 in words is "eighty-two thousand, nine hundred thirty-seven".

Divisors: 1 197 421 82937