97248384 has 128 divisors (see below), whose sum is σ = 302328000. Its totient is φ = 30689280.

The previous prime is 97248367. The next prime is 97248401. The reversal of 97248384 is 48384279.

97248384 is a `hidden beast` number, since 97 + 2 + 483 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (97248367) and next prime (97248401).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×97248384² = 18914496381222912, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64924 + ... + 66404.

Almost surely, 2^97248384 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 97248384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151164000).

97248384 is an abundant number, since it is smaller than the sum of its proper divisors (205079616).

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

97248384 is a wasteful number, since it uses less digits than its factorization.

97248384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1505 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 97248384 is about 9861.4595268652. The cubic root of 97248384 is about 459.8619371424.

The spelling of 97248384 in words is "ninety-seven million, two hundred forty-eight thousand, three hundred eighty-four".