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BaseRepresentation
bin10000011001
31102212
4100121
513144
64505
73026
oct2031
91385
101049
11874
12735
13629
1454d
1549e
hex419

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.

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 - 24 = 1033 is a prime.

It is a super-2 number, since 2×10492 = 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 p176 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.

Subtracting from 1049 its sum of digits (14), we obtain a triangular number (1035 = T45).

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