67081 has 9 divisors (see below), whose sum is σ = 80199. Its totient is φ = 55944.

The previous prime is 67079. The next prime is 67103. The reversal of 67081 is 18076.

It can be divided in two parts, 6 and 7081, that multiplied together give a triangular number (42486 = T_{291}).

67081 = T_{258} + T_{259}.

The square root of 67081 is 259.

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

67081 is nontrivially palindromic in base 6.

67081 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 60025 + 7056 = 245^2 + 84^2 .

It is not a de Polignac number, because 67081 - 2^{1} = 67079 is a prime.

It is a super-2 number, since 2×67081^{2} = 8999721122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1795 + ... + 1831.

It is an arithmetic number, because the mean of its divisors is an integer number (8911).

2^{67081} is an apocalyptic number.

67081 is the 259-th square number.

67081 is the 130-th centered octagonal number.

It is an amenable number.

67081 is a deficient number, since it is larger than the sum of its proper divisors (13118).

67081 is an equidigital number, since it uses as much as digits as its factorization.

67081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The cubic root of 67081 is about 40.6318418457.

The spelling of 67081 in words is "sixty-seven thousand, eighty-one".

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