97845248 has 34 divisors (see below), whose sum is σ = 195820074. Its totient is φ = 48889856.

The previous prime is 97845239. The next prime is 97845257. The reversal of 97845248 is 84254879.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (97845239) and next prime (97845257).

It can be written as a sum of positive squares in only one way, i.e., 94633984 + 3211264 = 9728^2 + 1792^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64790 + ... + 66282.

Almost surely, 2^97845248 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 97845248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97910037).

97845248 is an abundant number, since it is smaller than the sum of its proper divisors (97974826).

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

97845248 is an frugal number, since it uses more digits than its factorization.

97845248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1495 counting only the distinct ones).

The product of its digits is 645120, while the sum is 47.

The square root of 97845248 is about 9891.6756922172. The cubic root of 97845248 is about 460.8008230438.

The spelling of 97845248 in words is "ninety-seven million, eight hundred forty-five thousand, two hundred forty-eight".