97248 has 24 divisors (see below), whose sum is σ = 255528. Its totient is φ = 32384.

The previous prime is 97241. The next prime is 97259. The reversal of 97248 is 84279.

It is a tau number, because it is divible by the number of its divisors (24).

It is an Ulam number.

It is a zygodrome in base 7.

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 97248.

It is not an unprimeable number, because it can be changed into a prime (97241) by changing a digit.

97248 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, 411 + ... + 602.

It is an arithmetic number, because the mean of its divisors is an integer number (10647).

2⁹⁷²⁴⁸ is an apocalyptic number.

It is an amenable number.

97248 is an abundant number, since it is smaller than the sum of its proper divisors (158280).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127764).

97248 is a wasteful number, since it uses less digits than its factorization.

97248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1018 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 97248 is about 311.8461158969. The cubic root of 97248 is about 45.9861331863.

It can be divided in two parts, 972 and 48, that multiplied together give a 6-th power (46656 = 6⁶).

The spelling of 97248 in words is "ninety-seven thousand, two hundred forty-eight".