98217792 has 112 divisors (see below), whose sum is σ = 291876480. Its totient is φ = 32385024.

The previous prime is 98217781. The next prime is 98217793. The reversal of 98217792 is 29771289.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98217793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195013 + ... + 195515.

It is an arithmetic number, because the mean of its divisors is an integer number (2606040).

Almost surely, 2^98217792 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 98217792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145938240).

98217792 is an abundant number, since it is smaller than the sum of its proper divisors (193658688).

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

98217792 is a wasteful number, since it uses less digits than its factorization.

98217792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 621 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 98217792 is about 9910.4889889450. The cubic root of 98217792 is about 461.3849126139.

The spelling of 98217792 in words is "ninety-eight million, two hundred seventeen thousand, seven hundred ninety-two".