4000761 has 6 divisors (see below), whose sum is σ = 5778890. Its totient is φ = 2667168.

The previous prime is 4000751. The next prime is 4000813. The reversal of 4000761 is 1670004.

It can be written as a sum of positive squares in only one way, i.e., 3980025 + 20736 = 1995^2 + 144^2 .

It is not a de Polignac number, because 4000761 - 2¹⁵ = 3967993 is a prime.

It is a Duffinian number.

4000761 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4000741) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 222256 + ... + 222273.

Almost surely, 2^4000761 is an apocalyptic number.

It is an amenable number.

4000761 is a deficient number, since it is larger than the sum of its proper divisors (1778129).

4000761 is a wasteful number, since it uses less digits than its factorization.

4000761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444535 (or 444532 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 4000761 is about 2000.1902409521. The cubic root of 4000761 is about 158.7501713268.

Adding to 4000761 its reverse (1670004), we get a palindrome (5670765).

It can be divided in two parts, 4000 and 761, that added together give a square (4761 = 69²).

The spelling of 4000761 in words is "four million, seven hundred sixty-one", and thus it is an aban number.