4912 has 10 divisors (see below), whose sum is σ = 9548. Its totient is φ = 2448.

The previous prime is 4909. The next prime is 4919. The reversal of 4912 is 2194.

It is a Cunningham number, because it is equal to 17^{3}-1.

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 307 = 4912 / (4 + 9 + 1 + 2).

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 4912.

It is not an unprimeable number, because it can be changed into a prime (4919) 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, 138 + ... + 169.

It is an amenable number.

4912 is a deficient number, since it is larger than the sum of its proper divisors (4636).

4912 is a wasteful number, since it uses less digits than its factorization.

4912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 4912 is about 70.0856618717. The cubic root of 4912 is about 16.9988465192.

The spelling of 4912 in words is "four thousand, nine hundred twelve".

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