97869144 has 64 divisors (see below), whose sum is σ = 252806400. Its totient is φ = 31549824.

The previous prime is 97869143. The next prime is 97869179. The reversal of 97869144 is 44196879.

It is a junction number, because it is equal to n+sod(n) for n = 97869093 and 97869102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97869143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272437 + ... + 272795.

It is an arithmetic number, because the mean of its divisors is an integer number (3950100).

Almost surely, 2^97869144 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 97869144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126403200).

97869144 is an abundant number, since it is smaller than the sum of its proper divisors (154937256).

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

97869144 is a wasteful number, since it uses less digits than its factorization.

97869144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 708 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 97869144 is about 9892.8835028014. The cubic root of 97869144 is about 460.8383326160.

The spelling of 97869144 in words is "ninety-seven million, eight hundred sixty-nine thousand, one hundred forty-four".