82837 has 2 divisors, whose sum is σ = 82838. Its totient is φ = 82836.

The previous prime is 82813. The next prime is 82847. The reversal of 82837 is 73828.

It is a happy number.

It is the 118-th star number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42436 + 40401 = 206^2 + 201^2 .

It is a cyclic number.

It is not a de Polignac number, because 82837 - 2¹¹ = 80789 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82847) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41418 + 41419.

It is an arithmetic number, because the mean of its divisors is an integer number (41419).

2⁸²⁸³⁷ is an apocalyptic number.

It is an amenable number.

82837 is a deficient number, since it is larger than the sum of its proper divisors (1).

82837 is an equidigital number, since it uses as much as digits as its factorization.

82837 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2688, while the sum is 28.

The square root of 82837 is about 287.8141761623. The cubic root of 82837 is about 43.5921330811.

Subtracting from 82837 its reverse (73828), we obtain a palindrome (9009).

It can be divided in two parts, 82 and 837, that added together give a palindrome (919).

The spelling of 82837 in words is "eighty-two thousand, eight hundred thirty-seven".