1084 has 6 divisors (see below), whose sum is σ = 1904. Its totient is φ = 540.

The previous prime is 1069. The next prime is 1087. The reversal of 1084 is 4801.

1084 = T_{7} + T_{8} + ... +
T_{18}.

1084 is nontrivially palindromic in base 15.

1084 is an undulating number in base 15.

It is a nialpdrome in base 12 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132 + ... + 139.

It is an amenable number.

1084 is a deficient number, since it is larger than the sum of its proper divisors (820).

1084 is a wasteful number, since it uses less digits than its factorization.

1084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1084 is about 32.9241552663. The cubic root of 1084 is about 10.2725065630.

Adding to 1084 its reverse (4801), we get a palindrome (5885).

The spelling of 1084 in words is "one thousand, eighty-four".

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