4973 has 2 divisors, whose sum is σ = 4974. Its totient is φ = 4972.

The previous prime is 4969. The next prime is 4987. The reversal of 4973 is 3794.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4489 + 484 = 67^2 + 22^2 .

It is a cyclic number.

It is not a de Polignac number, because 4973 - 2² = 4969 is a prime.

It is a plaindrome in base 8, base 13 and base 16.

It is a zygodrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4973.

It is not a weakly prime, because it can be changed into another prime (4903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2486 + 2487.

It is an arithmetic number, because the mean of its divisors is an integer number (2487).

2⁴⁹⁷³ is an apocalyptic number.

It is an amenable number.

4973 is a deficient number, since it is larger than the sum of its proper divisors (1).

4973 is an equidigital number, since it uses as much as digits as its factorization.

4973 is an evil number, because the sum of its binary digits is even.

The product of its digits is 756, while the sum is 23.

The square root of 4973 is about 70.5195008491. The cubic root of 4973 is about 17.0689243297.

Subtracting from 4973 its sum of digits (23), we obtain a triangular number (4950 = T₉₉).

The spelling of 4973 in words is "four thousand, nine hundred seventy-three".