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3999 = 33143
BaseRepresentation
bin111110011111
312111010
4332133
5111444
630303
714442
oct7637
95433
103999
113006
122393
131a88
141659
1512b9
hexf9f

3999 has 8 divisors (see below), whose sum is σ = 5632. Its totient is φ = 2520.

The previous prime is 3989. The next prime is 4001. The reversal of 3999 is 9993.

3999 is nontrivially palindromic in base 2, base 6 and base 16.

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

It is not a de Polignac number, because 3999 - 25 = 3967 is a prime.

It is a Duffinian number.

3999 is an undulating number in base 6 and base 16.

3999 is a modest number, since divided by 99 gives 39 as remainder.

3999 is a lucky number.

It is a plaindrome in base 5 and base 10.

It is a nialpdrome in base 9.

It is a zygodrome in base 2 and base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3919) 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, 72 + ... + 114.

It is an arithmetic number, because the mean of its divisors is an integer number (704).

3999 is a deficient number, since it is larger than the sum of its proper divisors (1633).

3999 is a wasteful number, since it uses less digits than its factorization.

3999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77.

The product of its digits is 2187, while the sum is 30.

The square root of 3999 is about 63.2376470150. The cubic root of 3999 is about 15.8726875752.

Subtracting from 3999 its sum of digits (30), we obtain a square (3969 = 632).

The spelling of 3999 in words is "three thousand, nine hundred ninety-nine".

Divisors: 1 3 31 43 93 129 1333 3999