41688001 has 2 divisors, whose sum is σ = 41688002. Its totient is φ = 41688000.

The previous prime is 41687977. The next prime is 41688019. The reversal of 41688001 is 10088614.

41688001 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., 20976400 + 20711601 = 4580^2 + 4551^2 .

It is a cyclic number.

It is not a de Polignac number, because 41688001 - 2⁵ = 41687969 is a prime.

It is not a weakly prime, because it can be changed into another prime (41688041) 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, 20844000 + 20844001.

It is an arithmetic number, because the mean of its divisors is an integer number (20844001).

Almost surely, 2^41688001 is an apocalyptic number.

It is an amenable number.

41688001 is a deficient number, since it is larger than the sum of its proper divisors (1).

41688001 is an equidigital number, since it uses as much as digits as its factorization.

41688001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 41688001 is about 6456.6245825509. The cubic root of 41688001 is about 346.7397966816.

The spelling of 41688001 in words is "forty-one million, six hundred eighty-eight thousand, one".