98736 has 60 divisors (see below), whose sum is σ = 296856. Its totient is φ = 28160.

The previous prime is 98731. The next prime is 98737. The reversal of 98736 is 63789.

98736 = T₁₀₃ + T₁₀₄ + ... + T₁₁₈.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 98697 and 98706.

It is not an unprimeable number, because it can be changed into a prime (98731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5800 + ... + 5816.

2⁹⁸⁷³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148428).

98736 is an abundant number, since it is smaller than the sum of its proper divisors (198120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

98736 is a wasteful number, since it uses less digits than its factorization.

98736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 33 counting only the distinct ones).

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

The square root of 98736 is about 314.2228508559. Note that the first 3 decimals coincide. The cubic root of 98736 is about 46.2194929081.

98736 divided by its sum of digits (33) gives a palindrome (2992).

The spelling of 98736 in words is "ninety-eight thousand, seven hundred thirty-six".