76289 has 2 divisors, whose sum is σ = 76290. Its totient is φ = 76288.

The previous prime is 76283. The next prime is 76303. The reversal of 76289 is 98267.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48400 + 27889 = 220^2 + 167^2 .

It is a cyclic number.

It is not a de Polignac number, because 76289 - 2¹⁶ = 10753 is a prime.

It is not a weakly prime, because it can be changed into another prime (76283) 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 as a sum of consecutive naturals, namely, 38144 + 38145.

It is an arithmetic number, because the mean of its divisors is an integer number (38145).

It is a Proth number, since it is equal to 149 ⋅ 2⁹ + 1 and 149 < 2⁹.

2⁷⁶²⁸⁹ is an apocalyptic number.

It is an amenable number.

76289 is a deficient number, since it is larger than the sum of its proper divisors (1).

76289 is an equidigital number, since it uses as much as digits as its factorization.

76289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 32.

The square root of 76289 is about 276.2046342841. The cubic root of 76289 is about 42.4118588521.

The spelling of 76289 in words is "seventy-six thousand, two hundred eighty-nine".