972941 has 2 divisors, whose sum is σ = 972942. Its totient is φ = 972940.

The previous prime is 972901. The next prime is 972943. The reversal of 972941 is 149279.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 940900 + 32041 = 970^2 + 179^2 .

It is a cyclic number.

It is not a de Polignac number, because 972941 - 2¹⁰ = 971917 is a prime.

It is a super-2 number, since 2×972941² = 1893228378962, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 972943, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 972898 and 972907.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (972943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486470 + 486471.

It is an arithmetic number, because the mean of its divisors is an integer number (486471).

2⁹⁷²⁹⁴¹ is an apocalyptic number.

It is an amenable number.

972941 is a deficient number, since it is larger than the sum of its proper divisors (1).

972941 is an equidigital number, since it uses as much as digits as its factorization.

972941 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4536, while the sum is 32.

The square root of 972941 is about 986.3777166988. The cubic root of 972941 is about 99.0897733455.

The spelling of 972941 in words is "nine hundred seventy-two thousand, nine hundred forty-one".