3645977 has 2 divisors, whose sum is σ = 3645978. Its totient is φ = 3645976.

The previous prime is 3645959. The next prime is 3645979. The reversal of 3645977 is 7795463.

3645977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3455881 + 190096 = 1859^2 + 436^2 .

It is a cyclic number.

It is not a de Polignac number, because 3645977 - 2⁶ = 3645913 is a prime.

Together with 3645979, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 3⁸ + 6⁸ + 4² + 5⁹ + 9⁴ + 7² + 7² .

It is not a weakly prime, because it can be changed into another prime (3645979) 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, 1822988 + 1822989.

It is an arithmetic number, because the mean of its divisors is an integer number (1822989).

Almost surely, 2^3645977 is an apocalyptic number.

It is an amenable number.

3645977 is a deficient number, since it is larger than the sum of its proper divisors (1).

3645977 is an equidigital number, since it uses as much as digits as its factorization.

3645977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 158760, while the sum is 41.

The square root of 3645977 is about 1909.4441599586. Note that the first 3 decimals coincide. The cubic root of 3645977 is about 153.9115841495.

The spelling of 3645977 in words is "three million, six hundred forty-five thousand, nine hundred seventy-seven".