2039 has 2 divisors, whose sum is σ = 2040. Its totient is φ = 2038.

The previous prime is 2029. The next prime is 2053. The reversal of 2039 is 9302.

Subtracting from 2039 its sum of digits (14), we obtain a square (2025 = 45^{2}).

It can be divided in two parts, 203 and 9, that added together give a palindrome (212).

It is a happy number.

2039 is nontrivially palindromic in base 16.

It is an a-pointer prime, because the next prime (2053) can be obtained adding 2039 to its sum of digits (14).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2039 - 2^{8} = 1783 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

2039 is an undulating number in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1019 + 1020.

It is an arithmetic number, because the mean of its divisors is an integer number (1020).

2^{2039} is an apocalyptic number.

2039 is a deficient number, since it is larger than the sum of its proper divisors (1).

2039 is an equidigital number, since it uses as much as digits as its factorization.

2039 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 2039 is about 45.1552876195. The cubic root of 2039 is about 12.6805787434.

The spelling of 2039 in words is "two thousand, thirty-nine".

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