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73681 is a prime number
BaseRepresentation
bin10001111111010001
310202001221
4101333101
54324211
61325041
7424546
oct217721
9122057
1073681
11503a3
1236781
13276ca
141cbcd
1516c71
hex11fd1

73681 has 2 divisors, whose sum is σ = 73682. Its totient is φ = 73680.

The previous prime is 73679. The next prime is 73693. The reversal of 73681 is 18637.

73681 is nontrivially palindromic in base 4.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48400 + 25281 = 220^2 + 159^2 .

It is an emirp because it is prime and its reverse (18637) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73681 - 21 = 73679 is a prime.

It is a super-2 number, since 2×736812 = 10857779522, which contains 22 as substring.

Together with 73679, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (73651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36840 + 36841.

It is an arithmetic number, because the mean of its divisors is an integer number (36841).

273681 is an apocalyptic number.

It is an amenable number.

73681 is a deficient number, since it is larger than the sum of its proper divisors (1).

73681 is an equidigital number, since it uses as much as digits as its factorization.

It is an anagram of its base 12 representation: 73681 = (36781)12.

73681 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1008, while the sum is 25.

The square root of 73681 is about 271.4424432546. The cubic root of 73681 is about 41.9229501959.

The spelling of 73681 in words is "seventy-three thousand, six hundred eighty-one".