80749 has 2 divisors, whose sum is σ = 80750. Its totient is φ = 80748.

The previous prime is 80747. The next prime is 80761. The reversal of 80749 is 94708.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79524 + 1225 = 282^2 + 35^2 .

It is a cyclic number.

It is not a de Polignac number, because 80749 - 2¹ = 80747 is a prime.

Together with 80747, it forms a pair of twin primes.

80749 is a lucky number.

It is a plaindrome in base 8.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (80747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40374 + 40375.

It is an arithmetic number, because the mean of its divisors is an integer number (40375).

2⁸⁰⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

80749 is a deficient number, since it is larger than the sum of its proper divisors (1).

80749 is an equidigital number, since it uses as much as digits as its factorization.

80749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 80749 is about 284.1636852239. The cubic root of 80749 is about 43.2227489352. Note that the first 3 decimals are identical.

The spelling of 80749 in words is "eighty thousand, seven hundred forty-nine".