4967973 has 10 divisors (see below), whose sum is σ = 7421414. Its totient is φ = 3311928.

The previous prime is 4967971. The next prime is 4967981. The reversal of 4967973 is 3797694.

4967973 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4941729 + 26244 = 2223^2 + 162^2 .

It is not a de Polignac number, because 4967973 - 2¹ = 4967971 is a prime.

It is a d-powerful number, because it can be written as 4² + 9 + 6⁵ + 7 + 9⁷ + 7² + 3¹¹ .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4967971) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 30586 + ... + 30747.

Almost surely, 2^4967973 is an apocalyptic number.

It is an amenable number.

4967973 is a deficient number, since it is larger than the sum of its proper divisors (2453441).

4967973 is an equidigital number, since it uses as much as digits as its factorization.

4967973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61345 (or 61336 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 4967973 is about 2228.8950177162. The cubic root of 4967973 is about 170.6317096746.

The spelling of 4967973 in words is "four million, nine hundred sixty-seven thousand, nine hundred seventy-three".