84137 has 2 divisors, whose sum is σ = 84138. Its totient is φ = 84136.

The previous prime is 84131. The next prime is 84143. The reversal of 84137 is 73148.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (84131) and next prime (84143).

It can be written as a sum of positive squares in only one way, i.e., 80656 + 3481 = 284^2 + 59^2 .

It is a cyclic number.

It is not a de Polignac number, because 84137 - 2⁴ = 84121 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84137.

It is not a weakly prime, because it can be changed into another prime (84131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42068 + 42069.

It is an arithmetic number, because the mean of its divisors is an integer number (42069).

2⁸⁴¹³⁷ is an apocalyptic number.

It is an amenable number.

84137 is a deficient number, since it is larger than the sum of its proper divisors (1).

84137 is an equidigital number, since it uses as much as digits as its factorization.

84137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 672, while the sum is 23.

The square root of 84137 is about 290.0637860885. The cubic root of 84137 is about 43.8189877572.

It can be divided in two parts, 841 and 37, that added together give a palindrome (878).

The spelling of 84137 in words is "eighty-four thousand, one hundred thirty-seven".