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53361 = 3272112
BaseRepresentation
bin1101000001110001
32201012100
431001301
53201421
61051013
7311400
oct150161
981170
1053361
1137100
1226a69
131b399
1415637
1510c26
hexd071

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.

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).

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.

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

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 363 441 539 693 847 1089 1617 2541 4851 5929 7623 17787 53361