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2963 is a prime number
BaseRepresentation
bin101110010011
311001202
4232103
543323
621415
711432
oct5623
94052
102963
112254
12186b
13146c
141119
15d28
hexb93

2963 has 2 divisors, whose sum is σ = 2964. Its totient is φ = 2962.

The previous prime is 2957. The next prime is 2969. The reversal of 2963 is 3692.

Subtracting 2963 from its reverse (3692), we obtain a 6-th power (729 = 36).

It can be divided in two parts, 296 and 3, that multiplied together give a palindrome (888).

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (2957) and next prime (2969).

It is a cyclic number.

It is not a de Polignac number, because 2963 - 28 = 2707 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 13 and base 14.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (2969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1481 + 1482.

It is an arithmetic number, because the mean of its divisors is an integer number (1482).

2963 is a deficient number, since it is larger than the sum of its proper divisors (1).

2963 is an equidigital number, since it uses as much as digits as its factorization.

2963 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324, while the sum is 20.

The square root of 2963 is about 54.4334456010. The cubic root of 2963 is about 14.3629577787.

The spelling of 2963 in words is "two thousand, nine hundred sixty-three".