873338127 has 48 divisors (see below), whose sum is σ = 1295838720. Its totient is φ = 521015040.

The previous prime is 873338117. The next prime is 873338149. The reversal of 873338127 is 721833378.

It is not a de Polignac number, because 873338127 - 2⁴ = 873338111 is a prime.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873338117) by changing a digit.

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, 11054874 + ... + 11054952.

It is an arithmetic number, because the mean of its divisors is an integer number (26996640).

Almost surely, 2^873338127 is an apocalyptic number.

873338127 is a deficient number, since it is larger than the sum of its proper divisors (422500593).

873338127 is a wasteful number, since it uses less digits than its factorization.

873338127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 213 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 873338127 is about 29552.2947839927. The cubic root of 873338127 is about 955.8596745390.

The spelling of 873338127 in words is "eight hundred seventy-three million, three hundred thirty-eight thousand, one hundred twenty-seven".