3972301 has 2 divisors, whose sum is σ = 3972302. Its totient is φ = 3972300.

The previous prime is 3972263. The next prime is 3972329. The reversal of 3972301 is 1032793.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3896676 + 75625 = 1974^2 + 275^2 .

It is an emirp because it is prime and its reverse (1032793) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3972301 - 2⁷ = 3972173 is a prime.

3972301 is a lucky number.

It is equal to p₂₈₁₃₅₆ and since 3972301 and 281356 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3972341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1986150 + 1986151.

It is an arithmetic number, because the mean of its divisors is an integer number (1986151).

Almost surely, 2^3972301 is an apocalyptic number.

It is an amenable number.

3972301 is a deficient number, since it is larger than the sum of its proper divisors (1).

3972301 is an equidigital number, since it uses as much as digits as its factorization.

3972301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 3972301 is about 1993.0632202718. The cubic root of 3972301 is about 158.3728443100.

The spelling of 3972301 in words is "three million, nine hundred seventy-two thousand, three hundred one".