98252 has 36 divisors (see below), whose sum is σ = 223440. Its totient is φ = 36960.

The previous prime is 98251. The next prime is 98257. The reversal of 98252 is 25289.

It is a Smith number, since the sum of its digits (26) 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 (98251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3374 + ... + 3402.

2⁹⁸²⁵² 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 98252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111720).

98252 is an abundant number, since it is smaller than the sum of its proper divisors (125188).

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

98252 is a wasteful number, since it uses less digits than its factorization.

98252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 49 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 98252 is about 313.4517506731. The cubic root of 98252 is about 46.1438471217.

Multiplying 98252 by its sum of digits (26), we get a palindrome (2554552).

The spelling of 98252 in words is "ninety-eight thousand, two hundred fifty-two".