4013461 has 2 divisors, whose sum is σ = 4013462. Its totient is φ = 4013460.

The previous prime is 4013441. The next prime is 4013473. The reversal of 4013461 is 1643104.

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., 3960100 + 53361 = 1990^2 + 231^2 .

It is a cyclic number.

It is not a de Polignac number, because 4013461 - 2⁹ = 4012949 is a prime.

It is a super-2 number, since 2×4013461² = 32215738397042, which contains 22 as substring.

It is an Ulam number.

It is equal to p₂₈₄₀₃₂ and since 4013461 and 284032 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4013441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2006730 + 2006731.

It is an arithmetic number, because the mean of its divisors is an integer number (2006731).

Almost surely, 2^4013461 is an apocalyptic number.

It is an amenable number.

4013461 is a deficient number, since it is larger than the sum of its proper divisors (1).

4013461 is an equidigital number, since it uses as much as digits as its factorization.

4013461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 4013461 is about 2003.3624235270. The cubic root of 4013461 is about 158.9179725361.

Adding to 4013461 its reverse (1643104), we get a palindrome (5656565).

The spelling of 4013461 in words is "four million, thirteen thousand, four hundred sixty-one".