53361 has 27 divisors (see below), whose sum is σ = 98553. Its totient is φ = 27720.

The previous prime is 53359. The next prime is 53377. The reversal of 53361 is 16335.

Added to its reverse (16335) it gives a square (69696 = 264²).

53361 = T₂₃₀ + T₂₃₁.

53361 = 1³ + 2³ + ... + 21³.

The square root of 53361 is 231.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 53361 - 2¹ = 53359 is a prime.

53361 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (53381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4846 + ... + 4856.

2⁵³³⁶¹ is an apocalyptic number.

53361 is the 231-st square number.

53361 is the 116-th centered octagonal number.

It is an amenable number.

53361 is a deficient number, since it is larger than the sum of its proper divisors (45192).

53361 is a wasteful number, since it uses less digits than its factorization.

53361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 21 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The cubic root of 53361 is about 37.6479488626.

Adding to 53361 its reverse (16335), we get a palindrome (69696).

It can be divided in two parts, 53 and 361, that added together give a palindrome (414).

The spelling of 53361 in words is "fifty-three thousand, three hundred sixty-one".