522627 has 16 divisors (see below), whose sum is σ = 817152. Its totient is φ = 290880.

The previous prime is 522623. The next prime is 522637. The reversal of 522627 is 726225.

It is not a de Polignac number, because 522627 - 2² = 522623 is a prime.

It is a super-2 number, since 2×522627² = 546277962258, which contains 22 as substring.

522627 is a lucky number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 522597 and 522606.

It is not an unprimeable number, because it can be changed into a prime (522623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558 + ... + 1164.

It is an arithmetic number, because the mean of its divisors is an integer number (51072).

2⁵²²⁶²⁷ is an apocalyptic number.

522627 is a deficient number, since it is larger than the sum of its proper divisors (294525).

522627 is a wasteful number, since it uses less digits than its factorization.

522627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658.

The product of its digits is 1680, while the sum is 24.

The square root of 522627 is about 722.9294571395. The cubic root of 522627 is about 80.5497037542.

It can be divided in two parts, 5226 and 27, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 522627 in words is "five hundred twenty-two thousand, six hundred twenty-seven".