98767 has 4 divisors (see below), whose sum is σ = 99400. Its totient is φ = 98136.

The previous prime is 98737. The next prime is 98773. The reversal of 98767 is 76789.

98767 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 76789 = 17 ⋅4517.

It is a cyclic number.

It is not a de Polignac number, because 98767 - 2⁷ = 98639 is a prime.

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

It is a Duffinian number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98717) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 109 + ... + 457.

It is an arithmetic number, because the mean of its divisors is an integer number (24850).

2⁹⁸⁷⁶⁷ is an apocalyptic number.

98767 is a deficient number, since it is larger than the sum of its proper divisors (633).

98767 is a wasteful number, since it uses less digits than its factorization.

98767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632.

The product of its digits is 21168, while the sum is 37.

The square root of 98767 is about 314.2721750330. The cubic root of 98767 is about 46.2243295579.

The spelling of 98767 in words is "ninety-eight thousand, seven hundred sixty-seven".