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4963 = 7709
BaseRepresentation
bin1001101100011
320210211
41031203
5124323
634551
720320
oct11543
96724
104963
113802
122a57
13234a
141b47
15170d
hex1363

4963 has 4 divisors (see below), whose sum is σ = 5680. Its totient is φ = 4248.

The previous prime is 4957. The next prime is 4967. The reversal of 4963 is 3694.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3694 = 21847.

It is a cyclic number.

It is not a de Polignac number, because 4963 - 25 = 4931 is a prime.

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

It is a Duffinian number.

4963 is a modest number, since divided by 63 gives 49 as remainder.

4963 is a lucky number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (4967) 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 in 3 ways as a sum of consecutive naturals, for example, 348 + ... + 361.

It is an arithmetic number, because the mean of its divisors is an integer number (1420).

24963 is an apocalyptic number.

4963 is a deficient number, since it is larger than the sum of its proper divisors (717).

4963 is an equidigital number, since it uses as much as digits as its factorization.

4963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716.

The product of its digits is 648, while the sum is 22.

The square root of 4963 is about 70.4485627958. The cubic root of 4963 is about 17.0574755877.

The spelling of 4963 in words is "four thousand, nine hundred sixty-three".

Divisors: 1 7 709 4963