97648 has 20 divisors (see below), whose sum is σ = 200880. Its totient is φ = 45824.

The previous prime is 97613. The next prime is 97649. The reversal of 97648 is 84679.

97648 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (34).

Its product of digits (12096) is a multiple of the sum of its prime divisors (378).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97649) by changing a digit.

97648 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 3 ways as a sum of consecutive naturals, for example, 93 + ... + 451.

It is an arithmetic number, because the mean of its divisors is an integer number (10044).

2⁹⁷⁶⁴⁸ 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 97648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100440).

97648 is an abundant number, since it is smaller than the sum of its proper divisors (103232).

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

97648 is a wasteful number, since it uses less digits than its factorization.

97648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 378 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 97648 is about 312.4867997212. The cubic root of 97648 is about 46.0490969174.

It can be divided in two parts, 976 and 48, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 97648 in words is "ninety-seven thousand, six hundred forty-eight".