4973035167 has 24 divisors (see below), whose sum is σ = 7564277760. Its totient is φ = 3139644240.

The previous prime is 4973035121. The next prime is 4973035253. The reversal of 4973035167 is 7615303794.

4973035167 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4973035167 - 2¹⁴ = 4973018783 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4973035117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 674692 + ... + 682022.

It is an arithmetic number, because the mean of its divisors is an integer number (315178240).

Almost surely, 2^4973035167 is an apocalyptic number.

4973035167 is a deficient number, since it is larger than the sum of its proper divisors (2591242593).

4973035167 is a wasteful number, since it uses less digits than its factorization.

4973035167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11323 (or 11320 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 4973035167 is about 70519.7501909926. The cubic root of 4973035167 is about 1706.8964564393.

The spelling of 4973035167 in words is "four billion, nine hundred seventy-three million, thirty-five thousand, one hundred sixty-seven".