4006 has 4 divisors (see below), whose sum is σ = 6012. Its totient is φ = 2002.

The previous prime is 4003. The next prime is 4007. The reversal of 4006 is 6004.

It is a semiprime because it is the product of two primes.

It is a pancake number, because a pancake can be divided into 4006 parts by 89 straight cuts.

4006 is a modest number, since divided by 6 gives 4 as remainder.

It is a plaindrome in base 12.

It is a nialpdrome in base 9 and base 16.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 3983 and 4001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000 + ... + 1003.

It is an arithmetic number, because the mean of its divisors is an integer number (1503).

4006 is a deficient number, since it is larger than the sum of its proper divisors (2006).

4006 is a wasteful number, since it uses less digits than its factorization.

4006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005.

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 4006 is about 63.2929695938. The cubic root of 4006 is about 15.8819435597.

It can be divided in two parts, 400 and 6, that added together give a triangular number (406 = T_{28}).

The spelling of 4006 in words is "four thousand, six", and thus it is an eban number.

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