97005480 has 128 divisors (see below), whose sum is σ = 341953920. Its totient is φ = 21703680.

The previous prime is 97005439. The next prime is 97005563. The reversal of 97005480 is 8450079.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 14334 + ... + 19986.

It is an arithmetic number, because the mean of its divisors is an integer number (2671515).

Almost surely, 2^97005480 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 97005480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170976960).

97005480 is an abundant number, since it is smaller than the sum of its proper divisors (244948440).

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

97005480 is a wasteful number, since it uses less digits than its factorization.

97005480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5691 (or 5687 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 97005480 is about 9849.1360027162. The cubic root of 97005480 is about 459.4787416216.

The spelling of 97005480 in words is "ninety-seven million, five thousand, four hundred eighty".