2153 has 2 divisors, whose sum is σ = 2154. Its totient is φ = 2152.

The previous prime is 2143. The next prime is 2161. The reversal of 2153 is 3512.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1369 + 784 = 37^2 + 28^2 .

It is a cyclic number.

It is not a de Polignac number, because 2153 - 2^{4} = 2137 is a prime.

It is a Chen prime.

It is a plaindrome in base 11.

It is a nialpdrome in base 13 and base 15.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 2153.

It is not a weakly prime, because it can be changed into another prime (2113) 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, 1076 + 1077.

It is an arithmetic number, because the mean of its divisors is an integer number (1077).

It is an amenable number.

2153 is a deficient number, since it is larger than the sum of its proper divisors (1).

2153 is an equidigital number, since it uses as much as digits as its factorization.

2153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30, while the sum is 11.

The square root of 2153 is about 46.4004310325. The cubic root of 2153 is about 12.9126290999.

Adding to 2153 its reverse (3512), we get a palindrome (5665).

The spelling of 2153 in words is "two thousand, one hundred fifty-three".

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