872309 has 8 divisors (see below), whose sum is σ = 948480. Its totient is φ = 799200.

The previous prime is 872281. The next prime is 872317. The reversal of 872309 is 903278.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-872309 is a prime.

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

It is a plaindrome in base 15.

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, 152 + ... + 1329.

It is an arithmetic number, because the mean of its divisors is an integer number (118560).

2⁸⁷²³⁰⁹ is an apocalyptic number.

It is an amenable number.

872309 is a deficient number, since it is larger than the sum of its proper divisors (76171).

872309 is a wasteful number, since it uses less digits than its factorization.

872309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 872309 is about 933.9748390615. The cubic root of 872309 is about 95.5484070629.

The spelling of 872309 in words is "eight hundred seventy-two thousand, three hundred nine".