98756 has 12 divisors (see below), whose sum is σ = 197568. Its totient is φ = 42312.

The previous prime is 98737. The next prime is 98773. The reversal of 98756 is 65789.

98756 is an admirable number.

It is an unprimeable number.

98756 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1736 + ... + 1791.

It is an arithmetic number, because the mean of its divisors is an integer number (16464).

2⁹⁸⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

98756 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98784).

98756 is a wasteful number, since it uses less digits than its factorization.

98756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3538 (or 3536 counting only the distinct ones).

The product of its digits is 15120, while the sum is 35.

The square root of 98756 is about 314.2546737918. The cubic root of 98756 is about 46.2226134432. Note that the first 3 decimals are identical.

It can be divided in two parts, 98 and 756, that multiplied together give a cube (74088 = 42³).

The spelling of 98756 in words is "ninety-eight thousand, seven hundred fifty-six".