2953 has 2 divisors, whose sum is σ = 2954. Its totient is φ = 2952.

The previous prime is 2939. The next prime is 2957. The reversal of 2953 is 3592.

2953 is nontrivially palindromic in base 15.

2953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2809 + 144 = 53^2 + 12^2 .

2953 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 2953 - 2^{9} = 2441 is a prime.

It is a d-powerful number, because it can be written as **2**^{5} + **5** + **9**^{3} + **3**^{7} .

2953 is an undulating number in base 15.

2953 is a lucky number.

It is a plaindrome in base 11.

It is a self number, because there is not a number *n* which added to its sum of digits gives 2953.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1476 + 1477.

It is an arithmetic number, because the mean of its divisors is an integer number (1477).

2^{2953} is an apocalyptic number.

It is an amenable number.

2953 is a deficient number, since it is larger than the sum of its proper divisors (1).

2953 is an equidigital number, since it uses as much as digits as its factorization.

2953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 270, while the sum is 19.

The square root of 2953 is about 54.3415126768. The cubic root of 2953 is about 14.3467814414.

Adding to 2953 its product of digits (270), we get a palindrome (3223).

The spelling of 2953 in words is "two thousand, nine hundred fifty-three".

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