972755401 has 2 divisors, whose sum is σ = 972755402. Its totient is φ = 972755400.

The previous prime is 972755389. The next prime is 972755411. The reversal of 972755401 is 104557279.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 971257225 + 1498176 = 31165^2 + 1224^2 .

It is an emirp because it is prime and its reverse (104557279) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 972755401 - 2¹⁵ = 972722633 is a prime.

It is not a weakly prime, because it can be changed into another prime (972755411) 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 as a sum of consecutive naturals, namely, 486377700 + 486377701.

It is an arithmetic number, because the mean of its divisors is an integer number (486377701).

Almost surely, 2^972755401 is an apocalyptic number.

It is an amenable number.

972755401 is a deficient number, since it is larger than the sum of its proper divisors (1).

972755401 is an equidigital number, since it uses as much as digits as its factorization.

972755401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 88200, while the sum is 40.

The square root of 972755401 is about 31189.0269325608. The cubic root of 972755401 is about 990.8347213013.

The spelling of 972755401 in words is "nine hundred seventy-two million, seven hundred fifty-five thousand, four hundred one".