872693 has 4 divisors (see below), whose sum is σ = 878700. Its totient is φ = 866688.

The previous prime is 872687. The next prime is 872731. The reversal of 872693 is 396278.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 396278 = 2 ⋅198139.

It can be written as a sum of positive squares in 2 ways, for example, as 485809 + 386884 = 697^2 + 622^2 .

It is a cyclic number.

It is not a de Polignac number, because 872693 - 2⁸ = 872437 is a prime.

It is a d-powerful number, because it can be written as 8⁵ + 7² + 6³ + 2¹⁷ + 9⁶ + 3¹¹ .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2780 + ... + 3077.

It is an arithmetic number, because the mean of its divisors is an integer number (219675).

2⁸⁷²⁶⁹³ is an apocalyptic number.

It is an amenable number.

872693 is a deficient number, since it is larger than the sum of its proper divisors (6007).

872693 is a wasteful number, since it uses less digits than its factorization.

872693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6006.

The product of its digits is 18144, while the sum is 35.

The square root of 872693 is about 934.1803894324. The cubic root of 872693 is about 95.5624254921.

The spelling of 872693 in words is "eight hundred seventy-two thousand, six hundred ninety-three".