98761 has 8 divisors (see below), whose sum is σ = 108864. Its totient is φ = 89040.

The previous prime is 98737. The next prime is 98773. The reversal of 98761 is 16789.

98761 is nontrivially palindromic in base 15.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 98761 - 2⁵ = 98729 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (98711) 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 7 ways as a sum of consecutive naturals, for example, 870 + ... + 976.

It is an arithmetic number, because the mean of its divisors is an integer number (13608).

2⁹⁸⁷⁶¹ is an apocalyptic number.

It is an amenable number.

98761 is a deficient number, since it is larger than the sum of its proper divisors (10103).

98761 is a wasteful number, since it uses less digits than its factorization.

98761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191.

The product of its digits is 3024, while the sum is 31.

The square root of 98761 is about 314.2626290223. The cubic root of 98761 is about 46.2233935111.

The spelling of 98761 in words is "ninety-eight thousand, seven hundred sixty-one".