97848 has 40 divisors (see below), whose sum is σ = 275880. Its totient is φ = 32400.

The previous prime is 97847. The next prime is 97849. The reversal of 97848 is 84879.

It is an interprime number because it is at equal distance from previous prime (97847) and next prime (97849).

It is a super-2 number, since 2×97848² = 19148462208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97848.

It is not an unprimeable number, because it can be changed into a prime (97841) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 573 + ... + 723.

It is an arithmetic number, because the mean of its divisors is an integer number (6897).

2⁹⁷⁸⁴⁸ 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 97848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137940).

97848 is an abundant number, since it is smaller than the sum of its proper divisors (178032).

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

97848 is a wasteful number, since it uses less digits than its factorization.

97848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 97848 is about 312.8066495457. The cubic root of 97848 is about 46.0805143172.

The spelling of 97848 in words is "ninety-seven thousand, eight hundred forty-eight".