3972973 has 2 divisors, whose sum is σ = 3972974. Its totient is φ = 3972972.

The previous prime is 3972959. The next prime is 3972979. The reversal of 3972973 is 3792793.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3175524 + 797449 = 1782^2 + 893^2 .

It is an emirp because it is prime and its reverse (3792793) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3972973 - 2²¹ = 1875821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3972979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1986486 + 1986487.

It is an arithmetic number, because the mean of its divisors is an integer number (1986487).

Almost surely, 2^3972973 is an apocalyptic number.

It is an amenable number.

3972973 is a deficient number, since it is larger than the sum of its proper divisors (1).

3972973 is an equidigital number, since it uses as much as digits as its factorization.

3972973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 71442, while the sum is 40.

The square root of 3972973 is about 1993.2317978599. The cubic root of 3972973 is about 158.3817745287.

The spelling of 3972973 in words is "three million, nine hundred seventy-two thousand, nine hundred seventy-three".