521172 has 36 divisors (see below), whose sum is σ = 1362816. Its totient is φ = 167760.

The previous prime is 521167. The next prime is 521173. The reversal of 521172 is 271125.

521172 is nontrivially palindromic in base 11.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521173) by changing a digit.

521172 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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 883 + ... + 1349.

It is an arithmetic number, because the mean of its divisors is an integer number (37856).

2⁵²¹¹⁷² 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 521172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681408).

521172 is an abundant number, since it is smaller than the sum of its proper divisors (841644).

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

521172 is a wasteful number, since it uses less digits than its factorization.

521172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 503 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 521172 is about 721.9224335065. The cubic root of 521172 is about 80.4748838225.

Adding to 521172 its reverse (271125), we get a palindrome (792297).

Subtracting from 521172 its reverse (271125), we obtain a cube (250047 = 63³).

The spelling of 521172 in words is "five hundred twenty-one thousand, one hundred seventy-two".