1823172 has 72 divisors (see below), whose sum is σ = 4919040. Its totient is φ = 524160.

The previous prime is 1823153. The next prime is 1823179. The reversal of 1823172 is 2713281.

It is a super-2 number, since 2×1823172² = 6647912283168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1823179) 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 23 ways as a sum of consecutive naturals, for example, 58797 + ... + 58827.

It is an arithmetic number, because the mean of its divisors is an integer number (68320).

2^1823172 is an apocalyptic number.

1823172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1823172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459520).

1823172 is an abundant number, since it is smaller than the sum of its proper divisors (3095868).

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

1823172 is a wasteful number, since it uses less digits than its factorization.

1823172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 78 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 1823172 is about 1350.2488659503. The cubic root of 1823172 is about 122.1638039771.

Subtracting from 1823172 its product of digits (672), we obtain a square (1822500 = 1350²).

The spelling of 1823172 in words is "one million, eight hundred twenty-three thousand, one hundred seventy-two".