98757 has 6 divisors (see below), whose sum is σ = 142662. Its totient is φ = 65832.

The previous prime is 98737. The next prime is 98773. The reversal of 98757 is 75789.

It can be written as a sum of positive squares in only one way, i.e., 86436 + 12321 = 294^2 + 111^2 .

It is not a de Polignac number, because 98757 - 2¹⁴ = 82373 is a prime.

98757 is a lucky number.

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 98757.

It is not an unprimeable number, because it can be changed into a prime (98717) 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 5 ways as a sum of consecutive naturals, for example, 5478 + ... + 5495.

It is an arithmetic number, because the mean of its divisors is an integer number (23777).

2⁹⁸⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

98757 is a deficient number, since it is larger than the sum of its proper divisors (43905).

98757 is a wasteful number, since it uses less digits than its factorization.

98757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10979 (or 10976 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 98757 is about 314.2562648540. The cubic root of 98757 is about 46.2227694589. Note that the first 3 decimals are identical.

The spelling of 98757 in words is "ninety-eight thousand, seven hundred fifty-seven".