4005761 has 8 divisors (see below), whose sum is σ = 4285224. Its totient is φ = 3731200.

The previous prime is 4005733. The next prime is 4005767. The reversal of 4005761 is 1675004.

It can be written as a sum of positive squares in 4 ways, for example, as 1874161 + 2131600 = 1369^2 + 1460^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4005761 is a prime.

It is a super-2 number, since 2×4005761² = 32092242378242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4005767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 551 + ... + 2883.

It is an arithmetic number, because the mean of its divisors is an integer number (535653).

Almost surely, 2^4005761 is an apocalyptic number.

It is an amenable number.

4005761 is a deficient number, since it is larger than the sum of its proper divisors (279463).

4005761 is a wasteful number, since it uses less digits than its factorization.

4005761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 4005761 is about 2001.4397317931. The cubic root of 4005761 is about 158.8162771185.

The spelling of 4005761 in words is "four million, five thousand, seven hundred sixty-one".