2045 has 4 divisors (see below), whose sum is σ = 2460. Its totient is φ = 1632.

The previous prime is 2039. The next prime is 2053. The reversal of 2045 is 5402.

Adding to 2045 its reverse (5402), we get a palindrome (7447).

It can be divided in two parts, 20 and 45, that multiplied together give a square (900 = 30^{2}).

2045 is nontrivially palindromic in base 4.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1369 + 676 = 37^2 + 26^2 .

It is a cyclic number.

It is not a de Polignac number, because 2045 - 2^{4} = 2029 is a prime.

2045 is a modest number, since divided by 45 gives 20 as remainder.

It is a Curzon number.

It is a plaindrome in base 11 and base 12.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 200 + ... + 209.

It is an arithmetic number, because the mean of its divisors is an integer number (615).

2^{2045} is an apocalyptic number.

It is an amenable number.

2045 is a deficient number, since it is larger than the sum of its proper divisors (415).

2045 is an equidigital number, since it uses as much as digits as its factorization.

2045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414.

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 2045 is about 45.2216762184. The cubic root of 2045 is about 12.6930046002.

The spelling of 2045 in words is "two thousand, forty-five".

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