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2753 is a prime number
BaseRepresentation
bin101011000001
310202222
4223001
542003
620425
711012
oct5301
93688
102753
112083
121715
13133a
141009
15c38
hexac1

2753 has 2 divisors, whose sum is σ = 2754. Its totient is φ = 2752.

The previous prime is 2749. The next prime is 2767. The reversal of 2753 is 3572.

It can be divided in two parts, 27 and 53, that multiplied together give a triangular number (1431 = T53).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2704 + 49 = 52^2 + 7^2 .

It is a cyclic number.

It is not a de Polignac number, because 2753 - 22 = 2749 is a prime.

It is a Sophie Germain prime.

It is a d-powerful number, because it can be written as 29 + 5 + 72 + 37 .

It is a Curzon number.

It is a plaindrome in base 9 and base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2753.

It is not a weakly prime, because it can be changed into another prime (2713) 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, 1376 + 1377.

It is an arithmetic number, because the mean of its divisors is an integer number (1377).

It is a Proth number, since it is equal to 43 ⋅ 26 + 1 and 43 < 26.

It is an amenable number.

2753 is a deficient number, since it is larger than the sum of its proper divisors (1).

2753 is an equidigital number, since it uses as much as digits as its factorization.

2753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 210, while the sum is 17.

The square root of 2753 is about 52.4690384894. The cubic root of 2753 is about 14.0152894188.

The spelling of 2753 in words is "two thousand, seven hundred fifty-three".