97081344 has 144 divisors (see below), whose sum is σ = 293857200. Its totient is φ = 30818304.

The previous prime is 97081331. The next prime is 97081379. The reversal of 97081344 is 44318079.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 97081299 and 97081308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423822 + ... + 424050.

It is an arithmetic number, because the mean of its divisors is an integer number (2040675).

Almost surely, 2^97081344 is an apocalyptic number.

97081344 is the 5267-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97081344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146928600).

97081344 is an abundant number, since it is smaller than the sum of its proper divisors (196775856).

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

97081344 is a wasteful number, since it uses less digits than its factorization.

97081344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 97081344 is about 9852.9865523099. The cubic root of 97081344 is about 459.5984902249.

The spelling of 97081344 in words is "ninety-seven million, eighty-one thousand, three hundred forty-four".