4034761 has 2 divisors, whose sum is σ = 4034762. Its totient is φ = 4034760.

The previous prime is 4034759. The next prime is 4034773. The reversal of 4034761 is 1674304.

4034761 is digitally balanced in base 2, 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., 2755600 + 1279161 = 1660^2 + 1131^2 .

It is a cyclic number.

It is not a de Polignac number, because 4034761 - 2¹ = 4034759 is a prime.

It is a super-3 number, since 3×4034761³ (a number of 21 digits) contains 333 as substring.

Together with 4034759, it forms a pair of twin primes.

4034761 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (4034791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2017380 + 2017381.

It is an arithmetic number, because the mean of its divisors is an integer number (2017381).

Almost surely, 2^4034761 is an apocalyptic number.

It is an amenable number.

4034761 is a deficient number, since it is larger than the sum of its proper divisors (1).

4034761 is an equidigital number, since it uses as much as digits as its factorization.

4034761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 4034761 is about 2008.6714514823. The cubic root of 4034761 is about 159.1986099767.

The spelling of 4034761 in words is "four million, thirty-four thousand, seven hundred sixty-one".