7972188431 has 2 divisors, whose sum is σ = 7972188432. Its totient is φ = 7972188430.

The previous prime is 7972188409. The next prime is 7972188463. The reversal of 7972188431 is 1348812797.

It is a happy number.

7972188431 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is an emirp because it is prime and its reverse (1348812797) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7972188431 - 2¹⁰ = 7972187407 is a prime.

It is a super-2 number, since 2×7972188431² (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7972188431.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7972188031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3986094215 + 3986094216.

It is an arithmetic number, because the mean of its divisors is an integer number (3986094216).

Almost surely, 2^7972188431 is an apocalyptic number.

7972188431 is a deficient number, since it is larger than the sum of its proper divisors (1).

7972188431 is an equidigital number, since it uses as much as digits as its factorization.

7972188431 is an evil number, because the sum of its binary digits is even.

The product of its digits is 677376, while the sum is 50.

The square root of 7972188431 is about 89287.1123455115. The cubic root of 7972188431 is about 1997.6796783447.

The spelling of 7972188431 in words is "seven billion, nine hundred seventy-two million, one hundred eighty-eight thousand, four hundred thirty-one".