4972013 has 2 divisors, whose sum is σ = 4972014. Its totient is φ = 4972012.

The previous prime is 4972001. The next prime is 4972031. The reversal of 4972013 is 3102794.

4972013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (4972031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4609609 + 362404 = 2147^2 + 602^2 .

It is a cyclic number.

It is not a de Polignac number, because 4972013 - 2¹² = 4967917 is a prime.

It is a super-4 number, since 4×4972013⁴ (a number of 28 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4972063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2486006 + 2486007.

It is an arithmetic number, because the mean of its divisors is an integer number (2486007).

Almost surely, 2^4972013 is an apocalyptic number.

It is an amenable number.

4972013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4972013 is an equidigital number, since it uses as much as digits as its factorization.

4972013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 4972013 is about 2229.8011122071. The cubic root of 4972013 is about 170.6779502190.

The spelling of 4972013 in words is "four million, nine hundred seventy-two thousand, thirteen".