872305 has 8 divisors (see below), whose sum is σ = 1196352. Its totient is φ = 598128.

The previous prime is 872281. The next prime is 872317. The reversal of 872305 is 503278.

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

It is a cyclic number.

It is not a de Polignac number, because 872305 - 2⁷ = 872177 is a prime.

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

It is a Duffinian number.

872305 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 872305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12427 + ... + 12496.

It is an arithmetic number, because the mean of its divisors is an integer number (149544).

2⁸⁷²³⁰⁵ is an apocalyptic number.

It is an amenable number.

872305 is a deficient number, since it is larger than the sum of its proper divisors (324047).

872305 is a wasteful number, since it uses less digits than its factorization.

872305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24935.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 872305 is about 933.9726976738. The cubic root of 872305 is about 95.5482610160.

The spelling of 872305 in words is "eight hundred seventy-two thousand, three hundred five".