972184513 has 4 divisors (see below), whose sum is σ = 972288900. Its totient is φ = 972080128.

The previous prime is 972184501. The next prime is 972184529. The reversal of 972184513 is 315481279.

972184513 = 22047² + 22048².

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 486070209 + 486114304 = 22047^2 + 22048^2 .

It is a cyclic number.

It is not a de Polignac number, because 972184513 - 2¹³ = 972176321 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972184553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36688 + ... + 57361.

It is an arithmetic number, because the mean of its divisors is an integer number (243072225).

Almost surely, 2^972184513 is an apocalyptic number.

972184513 is the 22048-th centered square number.

It is an amenable number.

972184513 is a deficient number, since it is larger than the sum of its proper divisors (104387).

972184513 is a wasteful number, since it uses less digits than its factorization.

972184513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104386.

The product of its digits is 60480, while the sum is 40.

The square root of 972184513 is about 31179.8735244388. The cubic root of 972184513 is about 990.6408505898.

The spelling of 972184513 in words is "nine hundred seventy-two million, one hundred eighty-four thousand, five hundred thirteen".