4006761 has 16 divisors (see below), whose sum is σ = 6082560. Its totient is φ = 2322320.

The previous prime is 4006741. The next prime is 4006763. The reversal of 4006761 is 1676004.

It is not a de Polignac number, because 4006761 - 2⁵ = 4006729 is a prime.

It is a super-2 number, since 2×4006761² = 32108267422242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4006763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1881 + ... + 3398.

It is an arithmetic number, because the mean of its divisors is an integer number (380160).

Almost surely, 2^4006761 is an apocalyptic number.

It is an amenable number.

4006761 is a deficient number, since it is larger than the sum of its proper divisors (2075799).

4006761 is a wasteful number, since it uses less digits than its factorization.

4006761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5316.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 4006761 is about 2001.6895363667. The cubic root of 4006761 is about 158.8294916748.

The spelling of 4006761 in words is "four million, six thousand, seven hundred sixty-one".