4001461 has 2 divisors, whose sum is σ = 4001462. Its totient is φ = 4001460.

The previous prime is 4001453. The next prime is 4001467. The reversal of 4001461 is 1641004.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3062500 + 938961 = 1750^2 + 969^2 .

It is a cyclic number.

It is not a de Polignac number, because 4001461 - 2³ = 4001453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4001467) 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, 2000730 + 2000731.

It is an arithmetic number, because the mean of its divisors is an integer number (2000731).

Almost surely, 2^4001461 is an apocalyptic number.

It is an amenable number.

4001461 is a deficient number, since it is larger than the sum of its proper divisors (1).

4001461 is an equidigital number, since it uses as much as digits as its factorization.

4001461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4001461 is about 2000.3652166542. The cubic root of 4001461 is about 158.7594294521.

Adding to 4001461 its reverse (1641004), we get a palindrome (5642465).

The spelling of 4001461 in words is "four million, one thousand, four hundred sixty-one".