872958 has 24 divisors (see below), whose sum is σ = 1818648. Its totient is φ = 279328.

The previous prime is 872953. The next prime is 872959. The reversal of 872958 is 859278.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872951) by changing a digit.

872958 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 4960 + ... + 5132.

It is an arithmetic number, because the mean of its divisors is an integer number (75777).

2⁸⁷²⁹⁵⁸ is an apocalyptic number.

872958 is an abundant number, since it is smaller than the sum of its proper divisors (945690).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

872958 is a wasteful number, since it uses less digits than its factorization.

872958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 207 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 872958 is about 934.3222142280. The cubic root of 872958 is about 95.5720972705.

It can be divided in two parts, 872 and 958, that added together give a triangular number (1830 = T₆₀).

The spelling of 872958 in words is "eight hundred seventy-two thousand, nine hundred fifty-eight".