98737 has 2 divisors, whose sum is σ = 98738. Its totient is φ = 98736.

The previous prime is 98731. The next prime is 98773. The reversal of 98737 is 73789.

Together with next prime (98773) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57121 + 41616 = 239^2 + 204^2 .

It is a cyclic number.

It is not a de Polignac number, because 98737 - 2³ = 98729 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 98737.

It is not a weakly prime, because it can be changed into another prime (98731) 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, 49368 + 49369.

It is an arithmetic number, because the mean of its divisors is an integer number (49369).

2⁹⁸⁷³⁷ is an apocalyptic number.

It is an amenable number.

98737 is a deficient number, since it is larger than the sum of its proper divisors (1).

98737 is an equidigital number, since it uses as much as digits as its factorization.

98737 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10584, while the sum is 34.

The square root of 98737 is about 314.2244420792. The cubic root of 98737 is about 46.2196489449.

It can be divided in two parts, 987 and 37, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 98737 in words is "ninety-eight thousand, seven hundred thirty-seven".