98553 has 24 divisors (see below), whose sum is σ = 170688. Its totient is φ = 49248.

The previous prime is 98543. The next prime is 98561. The reversal of 98553 is 35589.

It is not a de Polignac number, because 98553 - 2⁸ = 98297 is a prime.

98553 is a lucky number.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 98553.

It is not an unprimeable number, because it can be changed into a prime (98533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5178 + ... + 5196.

It is an arithmetic number, because the mean of its divisors is an integer number (7112).

2⁹⁸⁵⁵³ is an apocalyptic number.

It is an amenable number.

98553 is a deficient number, since it is larger than the sum of its proper divisors (72135).

98553 is a wasteful number, since it uses less digits than its factorization.

98553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 42 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 98553 is about 313.9315211953. The cubic root of 98553 is about 46.1909204248.

The spelling of 98553 in words is "ninety-eight thousand, five hundred fifty-three".