872919 has 12 divisors (see below), whose sum is σ = 1316016. Its totient is φ = 556512.

The previous prime is 872863. The next prime is 872923. The reversal of 872919 is 919278.

It is a happy number.

It is not a de Polignac number, because 872919 - 2⁷ = 872791 is a prime.

It is a super-2 number, since 2×872919² = 1523975161122, which contains 22 as substring.

872919 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 872919.

It is not an unprimeable number, because it can be changed into a prime (872959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1902 + ... + 2315.

It is an arithmetic number, because the mean of its divisors is an integer number (109668).

2⁸⁷²⁹¹⁹ is an apocalyptic number.

872919 is a deficient number, since it is larger than the sum of its proper divisors (443097).

872919 is a wasteful number, since it uses less digits than its factorization.

872919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246 (or 4243 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 872919 is about 934.3013432507. The cubic root of 872919 is about 95.5706739995.

It can be divided in two parts, 8 and 72919, that added together give a palindrome (72927).

The spelling of 872919 in words is "eight hundred seventy-two thousand, nine hundred nineteen".