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1033 is a prime number
BaseRepresentation
bin10000001001
31102021
4100021
513113
64441
73004
oct2011
91367
101033
1185a
12721
13616
1453b
1548d
hex409

1033 has 2 divisors, whose sum is σ = 1034. Its totient is φ = 1032.

The previous prime is 1031. The next prime is 1039. The reversal of 1033 is 3301.

It is a happy number.

1033 is nontrivially palindromic in base 13.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1024 + 9 = 32^2 + 3^2 .

It is an emirp because it is prime and its reverse (3301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1033 - 21 = 1031 is a prime.

Together with 1031, it forms a pair of twin primes.

1033 is an undulating number in base 13.

1033 is a modest number, since divided by 33 gives 10 as remainder.

It is a plaindrome in base 9 and base 15.

It is a nialpdrome in base 6 and base 12.

It is not a weakly prime, because it can be changed into another prime (1031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516 + 517.

It is an arithmetic number, because the mean of its divisors is an integer number (517).

It is an amenable number.

1033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033 is an equidigital number, since it uses as much as digits as its factorization.

1033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 1033 is about 32.1403173600. The cubic root of 1033 is about 10.1088117068.

The spelling of 1033 in words is "one thousand, thirty-three".