97567848 has 128 divisors (see below), whose sum is σ = 312364800. Its totient is φ = 27641088.

The previous prime is 97567837. The next prime is 97567849. The reversal of 97567848 is 84876579.

It is a super-2 number, since 2×97567848² = 19038969926702208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 97567794 and 97567803.

It is not an unprimeable number, because it can be changed into a prime (97567849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261390 + ... + 261762.

It is an arithmetic number, because the mean of its divisors is an integer number (2440350).

Almost surely, 2^97567848 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 97567848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156182400).

97567848 is an abundant number, since it is smaller than the sum of its proper divisors (214796952).

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

97567848 is a wasteful number, since it uses less digits than its factorization.

97567848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 558 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 97567848 is about 9877.6438486109. The cubic root of 97567848 is about 460.3649403922.

The spelling of 97567848 in words is "ninety-seven million, five hundred sixty-seven thousand, eight hundred forty-eight".