4017625921 has 2 divisors, whose sum is σ = 4017625922. Its totient is φ = 4017625920.

The previous prime is 4017625903. The next prime is 4017625967. The reversal of 4017625921 is 1295267104.

4017625921 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3624040000 + 393585921 = 60200^2 + 19839^2 .

It is a cyclic number.

It is not a de Polignac number, because 4017625921 - 2¹⁷ = 4017494849 is a prime.

It is a super-3 number, since 3×4017625921³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (4017625121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2008812960 + 2008812961.

It is an arithmetic number, because the mean of its divisors is an integer number (2008812961).

Almost surely, 2^4017625921 is an apocalyptic number.

It is an amenable number.

4017625921 is a deficient number, since it is larger than the sum of its proper divisors (1).

4017625921 is an equidigital number, since it uses as much as digits as its factorization.

4017625921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 4017625921 is about 63384.7451757913. The cubic root of 4017625921 is about 1589.7292527141.

The spelling of 4017625921 in words is "four billion, seventeen million, six hundred twenty-five thousand, nine hundred twenty-one".