809172 has 108 divisors (see below), whose sum is σ = 2664480. Its totient is φ = 202176.

The previous prime is 809147. The next prime is 809173. The reversal of 809172 is 271908.

It is an Ulam number.

It is a zygodrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 809172.

It is not an unprimeable number, because it can be changed into a prime (809173) by changing a digit.

809172 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42579 + ... + 42597.

2⁸⁰⁹¹⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332240).

809172 is an abundant number, since it is smaller than the sum of its proper divisors (1855308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

809172 is a wasteful number, since it uses less digits than its factorization.

809172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 809172 is about 899.5398823843. The cubic root of 809172 is about 93.1852015284.

The spelling of 809172 in words is "eight hundred nine thousand, one hundred seventy-two".