2059 has 4 divisors (see below), whose sum is σ = 2160. Its totient is φ = 1960.

The previous prime is 2053. The next prime is 2063. The reversal of 2059 is 9502.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 9502 = 2 ⋅4751.

It is a cyclic number.

It is not a de Polignac number, because 2059 - 2⁵ = 2027 is a prime.

It is a Duffinian number.

2059 is a lucky number.

It is a plaindrome in base 12.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7 + ... + 64.

It is an arithmetic number, because the mean of its divisors is an integer number (540).

2²⁰⁵⁹ is an apocalyptic number.

2059 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2059 is the 29-th heptagonal number.

2059 is a deficient number, since it is larger than the sum of its proper divisors (101).

2059 is an equidigital number, since it uses as much as digits as its factorization.

2059 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 2059 is about 45.3762052182. The cubic root of 2059 is about 12.7219040437.

The spelling of 2059 in words is "two thousand, fifty-nine".