507222 has 40 divisors (see below), whose sum is σ = 1184832. Its totient is φ = 162000.

The previous prime is 507217. The next prime is 507289. The reversal of 507222 is 222705.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 507195 and 507204.

It is a congruent number.

It is an unprimeable number.

507222 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 19 ways as a sum of consecutive naturals, for example, 4972 + ... + 5072.

2⁵⁰⁷²²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592416).

507222 is an abundant number, since it is smaller than the sum of its proper divisors (677610).

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

507222 is a wasteful number, since it uses less digits than its factorization.

507222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 507222 is about 712.1951979619. The cubic root of 507222 is about 79.7503676899.

Adding to 507222 its reverse (222705), we get a palindrome (729927).

It can be divided in two parts, 507 and 222, that added together give a 6-th power (729 = 3⁶).

The spelling of 507222 in words is "five hundred seven thousand, two hundred twenty-two".