4005762 has 16 divisors (see below), whose sum is σ = 8039712. Its totient is φ = 1330560.

The previous prime is 4005733. The next prime is 4005767. The reversal of 4005762 is 2675004.

It is a happy number.

It is a super-2 number, since 2×4005762² = 32092258401288, 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, 978 + ... + 2994.

It is an arithmetic number, because the mean of its divisors is an integer number (502482).

Almost surely, 2^4005762 is an apocalyptic number.

4005762 is an abundant number, since it is smaller than the sum of its proper divisors (4033950).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4005762 is a wasteful number, since it uses less digits than its factorization.

4005762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353.

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 4005762 is about 2001.4399816132. The cubic root of 4005762 is about 158.8162903341.

The spelling of 4005762 in words is "four million, five thousand, seven hundred sixty-two".