98253 has 10 divisors (see below), whose sum is σ = 146894. Its totient is φ = 65448.

The previous prime is 98251. The next prime is 98257. The reversal of 98253 is 35289.

It can be written as a sum of positive squares in only one way, i.e., 59049 + 39204 = 243^2 + 198^2 .

It is not a de Polignac number, because 98253 - 2¹ = 98251 is a prime.

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

It is a Duffinian number.

98253 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 526 + ... + 687.

2⁹⁸²⁵³ is an apocalyptic number.

It is an amenable number.

98253 is a deficient number, since it is larger than the sum of its proper divisors (48641).

98253 is a wasteful number, since it uses less digits than its factorization.

98253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1216 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 98253 is about 313.4533458108. The cubic root of 98253 is about 46.1440036704.

It can be divided in two parts, 982 and 53, that added together give a triangular number (1035 = T₄₅).

The spelling of 98253 in words is "ninety-eight thousand, two hundred fifty-three".