97273440 has 384 divisors, whose sum is σ = 391910400. Its totient is φ = 22302720.

The previous prime is 97273399. The next prime is 97273441. The reversal of 97273440 is 4437279.

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 = 97273395 and 97273404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97273441) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1092916 + ... + 1093004.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 2^97273440 is an apocalyptic number.

97273440 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 97273440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

97273440 is an abundant number, since it is smaller than the sum of its proper divisors (294636960).

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

97273440 is a wasteful number, since it uses less digits than its factorization.

97273440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 97273440 is about 9862.7298452305. The cubic root of 97273440 is about 459.9014281542.

The spelling of 97273440 in words is "ninety-seven million, two hundred seventy-three thousand, four hundred forty".