5005377 has 24 divisors (see below), whose sum is σ = 7862400. Its totient is φ = 3050208.

The previous prime is 5005367. The next prime is 5005381. The reversal of 5005377 is 7735005.

It is not a de Polignac number, because 5005377 - 2¹¹ = 5003329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5005377.

It is not an unprimeable number, because it can be changed into a prime (5005307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20824 + ... + 21062.

It is an arithmetic number, because the mean of its divisors is an integer number (327600).

Almost surely, 2^5005377 is an apocalyptic number.

It is an amenable number.

5005377 is a deficient number, since it is larger than the sum of its proper divisors (2857023).

5005377 is a wasteful number, since it uses less digits than its factorization.

5005377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 27.

The square root of 5005377 is about 2237.2699881776. The cubic root of 5005377 is about 171.0588696456.

The spelling of 5005377 in words is "five million, five thousand, three hundred seventy-seven".