28537 has 2 divisors, whose sum is σ = 28538. Its totient is φ = 28536.

The previous prime is 28517. The next prime is 28541. The reversal of 28537 is 73582.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19321 + 9216 = 139^2 + 96^2 .

It is a cyclic number.

It is not a de Polignac number, because 28537 - 2⁷ = 28409 is a prime.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28537.

It is not a weakly prime, because it can be changed into another prime (28517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14268 + 14269.

It is an arithmetic number, because the mean of its divisors is an integer number (14269).

2²⁸⁵³⁷ is an apocalyptic number.

It is an amenable number.

28537 is a deficient number, since it is larger than the sum of its proper divisors (1).

28537 is an equidigital number, since it uses as much as digits as its factorization.

28537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1680, while the sum is 25.

The square root of 28537 is about 168.9289791599. The cubic root of 28537 is about 30.5587865576.

It can be divided in two parts, 28 and 537, that added together give a palindrome (565).

The spelling of 28537 in words is "twenty-eight thousand, five hundred thirty-seven".