97485120 has 140 divisors (see below), whose sum is σ = 346863924. Its totient is φ = 25989120.

The previous prime is 97485107. The next prime is 97485133. The reversal of 97485120 is 2158479.

It is an interprime number because it is at equal distance from previous prime (97485107) and next prime (97485133).

It can be written as a sum of positive squares in 2 ways, for example, as 39237696 + 58247424 = 6264^2 + 7632^2 .

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 (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24040 + ... + 27800.

Almost surely, 2^97485120 is an apocalyptic number.

97485120 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 97485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173431962).

97485120 is an abundant number, since it is smaller than the sum of its proper divisors (249378804).

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

97485120 is a wasteful number, since it uses less digits than its factorization.

97485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 97485120 is about 9873.4553222264. The cubic root of 97485120 is about 460.2347887736.

The spelling of 97485120 in words is "ninety-seven million, four hundred eighty-five thousand, one hundred twenty".