108637 has 2 divisors, whose sum is σ = 108638. Its totient is φ = 108636.

The previous prime is 108631. The next prime is 108643. The reversal of 108637 is 736801.

It is a balanced prime because it is at equal distance from previous prime (108631) and next prime (108643).

It can be written as a sum of positive squares in only one way, i.e., 86436 + 22201 = 294^2 + 149^2 .

It is a cyclic number.

It is not a de Polignac number, because 108637 - 2¹⁵ = 75869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (108631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54318 + 54319.

It is an arithmetic number, because the mean of its divisors is an integer number (54319).

2¹⁰⁸⁶³⁷ is an apocalyptic number.

It is an amenable number.

108637 is a deficient number, since it is larger than the sum of its proper divisors (1).

108637 is an equidigital number, since it uses as much as digits as its factorization.

108637 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 108637 is about 329.6012742694. The cubic root of 108637 is about 47.7154753498.

The spelling of 108637 in words is "one hundred eight thousand, six hundred thirty-seven".