1045 has 8 divisors (see below), whose sum is σ = 1440. Its totient is φ = 720.

The previous prime is 1039. The next prime is 1049. The reversal of 1045 is 5401.

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

It is not a de Polignac number, because 1045 - 2⁵ = 1013 is a prime.

1045 is a modest number, since divided by 45 gives 10 as remainder.

It is a plaindrome in base 15.

It is a nialpdrome in base 11 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1049) 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, 46 + ... + 64.

It is an arithmetic number, because the mean of its divisors is an integer number (180).

1045 is the 19-th octagonal number.

It is an amenable number.

1045 is a deficient number, since it is larger than the sum of its proper divisors (395).

1045 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 6 representation: 1045 = (4501)₆.

1045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35.

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 1045 is about 32.3264597505. The cubic root of 1045 is about 10.1478046163.

Subtracting from 1045 its sum of digits (10), we obtain a triangular number (1035 = T₄₅).

Adding to 1045 its reverse (5401), we get a palindrome (6446).

Subtracting 1045 from its reverse (5401), we obtain a square (4356 = 66²).

It can be divided in two parts, 10 and 45, that added together give a palindrome (55).

The spelling of 1045 in words is "one thousand, forty-five".