53226 has 12 divisors (see below), whose sum is σ = 115362. Its totient is φ = 17736.

The previous prime is 53201. The next prime is 53231. The reversal of 53226 is 62235.

It can be written as a sum of positive squares in only one way, i.e., 50625 + 2601 = 225^2 + 51^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 2957 = 53226 / (5 + 3 + 2 + 2 + 6).

It is a d-powerful number, because it can be written as 5 + 3⁸ + 2 + 2 + 6⁶ .

It is a Curzon number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 53199 and 53208.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53226.

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 1461 + ... + 1496.

2⁵³²²⁶ is an apocalyptic number.

53226 is an abundant number, since it is smaller than the sum of its proper divisors (62136).

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

53226 is a wasteful number, since it uses less digits than its factorization.

53226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2962 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 53226 is about 230.7076071568. The cubic root of 53226 is about 37.6161730635.

Subtracting 53226 from its reverse (62235), we obtain a palindrome (9009).

The spelling of 53226 in words is "fifty-three thousand, two hundred twenty-six".