1153 has 2 divisors, whose sum is σ = 1154. Its totient is φ = 1152.

The previous prime is 1151. The next prime is 1163. The reversal of 1153 is 3511.

1153 is nontrivially palindromic in base 11 and base 14.

It is an a-pointer prime, because the next prime (1163) can be obtained adding 1153 to its sum of digits (10).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1089 + 64 = 33^2 + 8^2 .

It is an emirp because it is prime and its reverse (3511) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1153 - 2^{1} = 1151 is a prime.

Together with 1151, it forms a pair of twin primes.

1153 is an undulating number in base 11 and base 14.

It is not a weakly prime, because it can be changed into another prime (1151) by changing a digit.

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

It is a Pierpont prime, being equal to 2^{7} ⋅ 3^{2} + 1.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 576 + 577.

It is an arithmetic number, because the mean of its divisors is an integer number (577).

It is a Proth number, since it is equal to 9 ⋅ 2^{7} + 1 and 9 < 2^{7}.

It is an amenable number.

1153 is a deficient number, since it is larger than the sum of its proper divisors (1).

1153 is an equidigital number, since it uses as much as digits as its factorization.

1153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15, while the sum is 10.

The square root of 1153 is about 33.9558536927. The cubic root of 1153 is about 10.4859979651.

Adding to 1153 its reverse (3511), we get a palindrome (4664).

It can be divided in two parts, 11 and 53, that added together give a 6-th power (64 = 2^{6}).

The spelling of 1153 in words is "one thousand, one hundred fifty-three".

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