4059 has 12 divisors (see below), whose sum is σ = 6552. Its totient is φ = 2400.

The previous prime is 4057. The next prime is 4073. The reversal of 4059 is 9504.

4059 = T₂ + T₃ + ... + T₂₈.

4059 = 10³ + 11³ + 12³.

It is not a de Polignac number, because 4059 - 2¹ = 4057 is a prime.

It is a plaindrome in base 7 and base 14.

It is a nialpdrome in base 8, base 9 and base 16.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (4051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79 + ... + 119.

It is an arithmetic number, because the mean of its divisors is an integer number (546).

2⁴⁰⁵⁹ is an apocalyptic number.

4059 is a deficient number, since it is larger than the sum of its proper divisors (2493).

4059 is a wasteful number, since it uses less digits than its factorization.

4059 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 4059 is about 63.7102817448. The cubic root of 4059 is about 15.9516771198.

Subtracting 4059 from its reverse (9504), we obtain a palindrome (5445).

It can be divided in two parts, 405 and 9, that added together give a palindrome (414).

The spelling of 4059 in words is "four thousand, fifty-nine".