845172 has 36 divisors (see below), whose sum is σ = 2263716. Its totient is φ = 264960.

The previous prime is 845167. The next prime is 845179. The reversal of 845172 is 271548.

It can be written as a sum of positive squares in 2 ways, for example, as 527076 + 318096 = 726^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 845172.

It is not an unprimeable number, because it can be changed into a prime (845179) by changing a digit.

845172 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 79 + ... + 1302.

It is an arithmetic number, because the mean of its divisors is an integer number (62881).

2⁸⁴⁵¹⁷² 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 845172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131858).

845172 is an abundant number, since it is smaller than the sum of its proper divisors (1418544).

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

845172 is a wasteful number, since it uses less digits than its factorization.

845172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1403 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 845172 is about 919.3323664486. The cubic root of 845172 is about 94.5471336218.

The spelling of 845172 in words is "eight hundred forty-five thousand, one hundred seventy-two".