5165875 has 48 divisors (see below), whose sum is σ = 8045856. Its totient is φ = 3264000.

The previous prime is 5165833. The next prime is 5165887. The reversal of 5165875 is 5785615.

5165875 = 18³ + 19³ + ... + 67³.

It is not a de Polignac number, because 5165875 - 2¹⁹ = 4641587 is a prime.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303867 + ... + 303883.

It is an arithmetic number, because the mean of its divisors is an integer number (167622).

Almost surely, 2^5165875 is an apocalyptic number.

5165875 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5165875 is a deficient number, since it is larger than the sum of its proper divisors (2879981).

5165875 is a wasteful number, since it uses less digits than its factorization.

5165875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 46 counting only the distinct ones).

The product of its digits is 42000, while the sum is 37.

The square root of 5165875 is about 2272.8561327106. The cubic root of 5165875 is about 172.8680094060.

The spelling of 5165875 in words is "five million, one hundred sixty-five thousand, eight hundred seventy-five".