872365 has 8 divisors (see below), whose sum is σ = 1127448. Its totient is φ = 644160.

The previous prime is 872353. The next prime is 872369. The reversal of 872365 is 563278.

It can be written as a sum of positive squares in 4 ways, for example, as 131044 + 741321 = 362^2 + 861^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 872365 - 2⁷ = 872237 is a prime.

It is a super-2 number, since 2×872365² = 1522041386450, which contains 22 as substring.

It is a d-powerful number, because it can be written as 8⁵ + 7⁷ + 3⁸ + 2¹³ + 6⁴ + 5 .

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872369) 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 7 ways as a sum of consecutive naturals, for example, 6646 + ... + 6775.

It is an arithmetic number, because the mean of its divisors is an integer number (140931).

2⁸⁷²³⁶⁵ is an apocalyptic number.

It is an amenable number.

872365 is a deficient number, since it is larger than the sum of its proper divisors (255083).

872365 is a wasteful number, since it uses less digits than its factorization.

872365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13439.

The product of its digits is 10080, while the sum is 31.

The square root of 872365 is about 934.0048179747. The cubic root of 872365 is about 95.5504516734.

The spelling of 872365 in words is "eight hundred seventy-two thousand, three hundred sixty-five".