972872177 has 2 divisors, whose sum is σ = 972872178. Its totient is φ = 972872176.

The previous prime is 972872137. The next prime is 972872179. The reversal of 972872177 is 771278279.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 862538161 + 110334016 = 29369^2 + 10504^2 .

It is an emirp because it is prime and its reverse (771278279) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 972872177 - 2⁶ = 972872113 is a prime.

Together with 972872179, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (972872179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486436088 + 486436089.

It is an arithmetic number, because the mean of its divisors is an integer number (486436089).

Almost surely, 2^972872177 is an apocalyptic number.

It is an amenable number.

972872177 is a deficient number, since it is larger than the sum of its proper divisors (1).

972872177 is an equidigital number, since it uses as much as digits as its factorization.

972872177 is an evil number, because the sum of its binary digits is even.

The product of its digits is 691488, while the sum is 50.

The square root of 972872177 is about 31190.8989450449. The cubic root of 972872177 is about 990.8743685020.

The spelling of 972872177 in words is "nine hundred seventy-two million, eight hundred seventy-two thousand, one hundred seventy-seven".