872593 has 4 divisors (see below), whose sum is σ = 923940. Its totient is φ = 821248.

The previous prime is 872587. The next prime is 872609. The reversal of 872593 is 395278.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 725904 + 146689 = 852^2 + 383^2 .

It is a cyclic number.

It is not a de Polignac number, because 872593 - 2⁵ = 872561 is a prime.

It is a super-2 number, since 2×872593² = 1522837087298, which contains 22 as substring.

It is a Duffinian number.

872593 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (872533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25648 + ... + 25681.

It is an arithmetic number, because the mean of its divisors is an integer number (230985).

2⁸⁷²⁵⁹³ is an apocalyptic number.

It is an amenable number.

872593 is a deficient number, since it is larger than the sum of its proper divisors (51347).

872593 is a wasteful number, since it uses less digits than its factorization.

872593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51346.

The product of its digits is 15120, while the sum is 34.

The square root of 872593 is about 934.1268650456. The cubic root of 872593 is about 95.5587752556.

The spelling of 872593 in words is "eight hundred seventy-two thousand, five hundred ninety-three".