98952 has 64 divisors (see below), whose sum is σ = 307200. Its totient is φ = 25920.

The previous prime is 98947. The next prime is 98953. The reversal of 98952 is 25989.

It is not an unprimeable number, because it can be changed into a prime (98953) by changing a digit.

98952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3177 + ... + 3207.

It is an arithmetic number, because the mean of its divisors is an integer number (4800).

2⁹⁸⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153600).

98952 is an abundant number, since it is smaller than the sum of its proper divisors (208248).

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

98952 is a wasteful number, since it uses less digits than its factorization.

98952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 62 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 98952 is about 314.5663681960. The cubic root of 98952 is about 46.2531724145.

The spelling of 98952 in words is "ninety-eight thousand, nine hundred fifty-two".