97834320 has 120 divisors (see below), whose sum is σ = 347930856. Its totient is φ = 24551424.

The previous prime is 97834309. The next prime is 97834333. The reversal of 97834320 is 2343879.

It can be written as a sum of positive squares in 4 ways, for example, as 4981824 + 92852496 = 2232^2 + 9636^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8244 + ... + 16236.

Almost surely, 2^97834320 is an apocalyptic number.

97834320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97834320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173965428).

97834320 is an abundant number, since it is smaller than the sum of its proper divisors (250096536).

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

97834320 is a wasteful number, since it uses less digits than its factorization.

97834320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8029 (or 8020 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 97834320 is about 9891.1232931351. The cubic root of 97834320 is about 460.7836673175.

The spelling of 97834320 in words is "ninety-seven million, eight hundred thirty-four thousand, three hundred twenty".