98091 has 20 divisors (see below), whose sum is σ = 168432. Its totient is φ = 55728.

The previous prime is 98081. The next prime is 98101. The reversal of 98091 is 19089.

It is an interprime number because it is at equal distance from previous prime (98081) and next prime (98101).

It is not a de Polignac number, because 98091 - 2⁹ = 97579 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

98091 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 98091.

It is not an unprimeable number, because it can be changed into a prime (98011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 481 + ... + 653.

2⁹⁸⁰⁹¹ is an apocalyptic number.

98091 is a deficient number, since it is larger than the sum of its proper divisors (70341).

98091 is a wasteful number, since it uses less digits than its factorization.

98091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 98091 is about 313.1948275435. The cubic root of 98091 is about 46.1186289039.

It can be divided in two parts, 9 and 8091, that added together give a square (8100 = 90²).

The spelling of 98091 in words is "ninety-eight thousand, ninety-one".