98712 has 32 divisors (see below), whose sum is σ = 274800. Its totient is φ = 32832.

The previous prime is 98711. The next prime is 98713. The reversal of 98712 is 21789.

It is an interprime number because it is at equal distance from previous prime (98711) and next prime (98713).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13 + ... + 444.

2⁹⁸⁷¹² 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 98712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137400).

98712 is an abundant number, since it is smaller than the sum of its proper divisors (176088).

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

98712 is a wasteful number, since it uses less digits than its factorization.

98712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 462 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 98712 is about 314.1846590781. The cubic root of 98712 is about 46.2157477097.

It can be divided in two parts, 987 and 12, that added together give a palindrome (999).

The spelling of 98712 in words is "ninety-eight thousand, seven hundred twelve".