97849872 has 60 divisors (see below), whose sum is σ = 279032364. Its totient is φ = 31998720.

The previous prime is 97849859. The next prime is 97849877. The reversal of 97849872 is 27894879.

It can be written as a sum of positive squares in 2 ways, for example, as 33593616 + 64256256 = 5796^2 + 8016^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97849877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1222 + ... + 14042.

Almost surely, 2^97849872 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 97849872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139516182).

97849872 is an abundant number, since it is smaller than the sum of its proper divisors (181182492).

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

97849872 is a wasteful number, since it uses less digits than its factorization.

97849872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12888 (or 12879 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 97849872 is about 9891.9094213403. The cubic root of 97849872 is about 460.8080818172.

The spelling of 97849872 in words is "ninety-seven million, eight hundred forty-nine thousand, eight hundred seventy-two".