1049 has 2 divisors, whose sum is σ = 1050. Its totient is φ = 1048.

The previous prime is 1039. The next prime is 1051. The reversal of 1049 is 9401.

Subtracting from 1049 its sum of digits (14), we obtain a triangular number (1035 = T_{45}).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1024 + 25 = 32^2 + 5^2 .

It is a cyclic number.

It is not a de Polignac number, because 1049 - 2^{4} = 1033 is a prime.

It is a super-2 number, since 2×1049^{2} = 2200802, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 1051, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is equal to p_{176} and since 1049 and 176 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 15.

It is a nialpdrome in base 11.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 1049.

It is not a weakly prime, because it can be changed into another prime (1009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 524 + 525.

It is an arithmetic number, because the mean of its divisors is an integer number (525).

It is an amenable number.

1049 is a deficient number, since it is larger than the sum of its proper divisors (1).

1049 is an equidigital number, since it uses as much as digits as its factorization.

1049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1049 is about 32.3882694814. The cubic root of 1049 is about 10.1607358882.

The spelling of 1049 in words is "one thousand, forty-nine".

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