97419520 has 216 divisors, whose sum is σ = 278920152. Its totient is φ = 32440320.

The previous prime is 97419463. The next prime is 97419521. The reversal of 97419520 is 2591479.

It can be written as a sum of positive squares in 4 ways, for example, as 40144896 + 57274624 = 6336^2 + 7568^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 97419520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97419521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2632942 + ... + 2632978.

It is an arithmetic number, because the mean of its divisors is an integer number (1291297).

Almost surely, 2^97419520 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 97419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139460076).

97419520 is an abundant number, since it is smaller than the sum of its proper divisors (181500632).

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

97419520 is a wasteful number, since it uses less digits than its factorization.

97419520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 97419520 is about 9870.1327245382. The cubic root of 97419520 is about 460.1315313847.

The spelling of 97419520 in words is "ninety-seven million, four hundred nineteen thousand, five hundred twenty".