98700 has 72 divisors (see below), whose sum is σ = 333312. Its totient is φ = 22080.

The previous prime is 98689. The next prime is 98711. The reversal of 98700 is 789.

It is an interprime number because it is at equal distance from previous prime (98689) and next prime (98711).

It is a nialpdrome in base 10.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

98700 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2077 + ... + 2123.

2⁹⁸⁷⁰⁰ 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 98700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166656).

98700 is an abundant number, since it is smaller than the sum of its proper divisors (234612).

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

98700 is a wasteful number, since it uses less digits than its factorization.

98700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 98700 is about 314.1655614481. The cubic root of 98700 is about 46.2138748829.

The spelling of 98700 in words is "ninety-eight thousand, seven hundred".