2633 has 2 divisors, whose sum is σ = 2634. Its totient is φ = 2632.

The previous prime is 2621. The next prime is 2647. The reversal of 2633 is 3362.

Added to its reverse (3362) it gives a triangular number (5995 = T_{109}).

It is an a-pointer prime, because the next prime (2647) can be obtained adding 2633 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1849 + 784 = 43^2 + 28^2 .

It is a cyclic number.

It is not a de Polignac number, because 2633 - 2^{4} = 2617 is a prime.

It is an Ulam number.

2633 is a modest number, since divided by 33 gives 26 as remainder.

It is a plaindrome in base 13.

It is a nialpdrome in base 8, base 14 and base 15.

It is not a weakly prime, because it can be changed into another prime (2663) 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, 1316 + 1317.

It is an arithmetic number, because the mean of its divisors is an integer number (1317).

It is an amenable number.

2633 is a deficient number, since it is larger than the sum of its proper divisors (1).

2633 is an equidigital number, since it uses as much as digits as its factorization.

2633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108, while the sum is 14.

The square root of 2633 is about 51.3127664427. The cubic root of 2633 is about 13.8086202531.

Adding to 2633 its reverse (3362), we get a palindrome (5995).

Subtracting 2633 from its reverse (3362), we obtain a 6-th power (729 = 3^{6}).

It can be divided in two parts, 26 and 33, that multiplied together give a palindrome (858).

The spelling of 2633 in words is "two thousand, six hundred thirty-three".

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