97794144 has 144 divisors (see below), whose sum is σ = 320785920. Its totient is φ = 27682560.

The previous prime is 97794133. The next prime is 97794167. The reversal of 97794144 is 44149779.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 97794144.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 360729 + ... + 360999.

It is an arithmetic number, because the mean of its divisors is an integer number (2227680).

Almost surely, 2^97794144 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 97794144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

97794144 is an abundant number, since it is smaller than the sum of its proper divisors (222991776).

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

97794144 is a wasteful number, since it uses less digits than its factorization.

97794144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 462 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 97794144 is about 9889.0921726921. The cubic root of 97794144 is about 460.7205845491.

The spelling of 97794144 in words is "ninety-seven million, seven hundred ninety-four thousand, one hundred forty-four".