98052 has 12 divisors (see below), whose sum is σ = 228816. Its totient is φ = 32680.

The previous prime is 98047. The next prime is 98057. The reversal of 98052 is 25089.

It is an interprime number because it is at equal distance from previous prime (98047) and next prime (98057).

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×98052² = 19228389408, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (98057) 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, 4074 + ... + 4097.

It is an arithmetic number, because the mean of its divisors is an integer number (19068).

2⁹⁸⁰⁵² is an apocalyptic number.

It is an amenable number.

98052 is an abundant number, since it is smaller than the sum of its proper divisors (130764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114408).

98052 is a wasteful number, since it uses less digits than its factorization.

98052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8178 (or 8176 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 98052 is about 313.1325597890. The cubic root of 98052 is about 46.1125159919.

The spelling of 98052 in words is "ninety-eight thousand, fifty-two".