98637 has 24 divisors (see below), whose sum is σ = 169632. Its totient is φ = 50400.

The previous prime is 98627. The next prime is 98639. The reversal of 98637 is 73689.

It is a happy number.

It is not a de Polignac number, because 98637 - 2⁴ = 98621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

98637 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 98598 and 98607.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 98637.

It is not an unprimeable number, because it can be changed into a prime (98639) 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 in 23 ways as a sum of consecutive naturals, for example, 1587 + ... + 1647.

It is an arithmetic number, because the mean of its divisors is an integer number (7068).

2⁹⁸⁶³⁷ is an apocalyptic number.

It is an amenable number.

98637 is a deficient number, since it is larger than the sum of its proper divisors (70995).

98637 is a wasteful number, since it uses less digits than its factorization.

98637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 82 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 98637 is about 314.0652798384. The cubic root of 98637 is about 46.2040400507.

It can be divided in two parts, 9863 and 7, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 98637 in words is "ninety-eight thousand, six hundred thirty-seven".