3997723 has 2 divisors, whose sum is σ = 3997724. Its totient is φ = 3997722.

The previous prime is 3997673. The next prime is 3997751. The reversal of 3997723 is 3277993.

It is a strong prime.

It is an emirp because it is prime and its reverse (3277993) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3997723 - 2⁹ = 3997211 is a prime.

It is not a weakly prime, because it can be changed into another prime (3991723) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1998861 + 1998862.

It is an arithmetic number, because the mean of its divisors is an integer number (1998862).

Almost surely, 2^3997723 is an apocalyptic number.

3997723 is a deficient number, since it is larger than the sum of its proper divisors (1).

3997723 is an equidigital number, since it uses as much as digits as its factorization.

3997723 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 3997723 is about 1999.4306689655. The cubic root of 3997723 is about 158.7099785446.

It can be divided in two parts, 39977 and 23, that added together give a square (40000 = 200²).

The spelling of 3997723 in words is "three million, nine hundred ninety-seven thousand, seven hundred twenty-three".