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53681 is a prime number
BaseRepresentation
bin1101000110110001
32201122012
431012301
53204211
61052305
7312335
oct150661
981565
1053681
1137371
1227095
131b584
14157c5
1510d8b
hexd1b1

53681 has 2 divisors, whose sum is σ = 53682. Its totient is φ = 53680.

The previous prime is 53657. The next prime is 53693. The reversal of 53681 is 18635.

53681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43681 + 10000 = 209^2 + 100^2 .

It is a cyclic number.

It is not a de Polignac number, because 53681 - 26 = 53617 is a prime.

It is a super-2 number, since 2×536812 = 5763299522, which contains 22 as substring.

It is a Chen prime.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53681.

It is not a weakly prime, because it can be changed into another prime (53611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26840 + 26841.

It is an arithmetic number, because the mean of its divisors is an integer number (26841).

253681 is an apocalyptic number.

It is an amenable number.

53681 is a deficient number, since it is larger than the sum of its proper divisors (1).

53681 is an equidigital number, since it uses as much as digits as its factorization.

53681 is an evil number, because the sum of its binary digits is even.

The product of its digits is 720, while the sum is 23.

The square root of 53681 is about 231.6916053723. The cubic root of 53681 is about 37.7230557844.

The spelling of 53681 in words is "fifty-three thousand, six hundred eighty-one".