4140001 has 2 divisors, whose sum is σ = 4140002. Its totient is φ = 4140000.

The previous prime is 4139999. The next prime is 4140029. The reversal of 4140001 is 1000414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2387025 + 1752976 = 1545^2 + 1324^2 .

It is a cyclic number.

It is not a de Polignac number, because 4140001 - 2¹ = 4139999 is a prime.

Together with 4139999, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 4140001.

It is not a weakly prime, because it can be changed into another prime (4141001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2070000 + 2070001.

It is an arithmetic number, because the mean of its divisors is an integer number (2070001).

Almost surely, 2^4140001 is an apocalyptic number.

It is an amenable number.

4140001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4140001 is an equidigital number, since it uses as much as digits as its factorization.

4140001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 4140001 is about 2034.6992406742. The cubic root of 4140001 is about 160.5708902915.

Adding to 4140001 its reverse (1000414), we get a palindrome (5140415).

The spelling of 4140001 in words is "four million, one hundred forty thousand, one".