98033 has 4 divisors (see below), whose sum is σ = 105588. Its totient is φ = 90480.

The previous prime is 98017. The next prime is 98041. The reversal of 98033 is 33089.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 12769 + 85264 = 113^2 + 292^2 .

It is not a de Polignac number, because 98033 - 2⁴ = 98017 is a prime.

It is a super-4 number, since 4×98033⁴ (a number of 21 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 3758 + ... + 3783.

It is an arithmetic number, because the mean of its divisors is an integer number (26397).

2⁹⁸⁰³³ is an apocalyptic number.

It is an amenable number.

98033 is a deficient number, since it is larger than the sum of its proper divisors (7555).

98033 is a wasteful number, since it uses less digits than its factorization.

98033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7554.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 98033 is about 313.1022197302. The cubic root of 98033 is about 46.1095373193.

The spelling of 98033 in words is "ninety-eight thousand, thirty-three".