76873 has 2 divisors, whose sum is σ = 76874. Its totient is φ = 76872.

The previous prime is 76871. The next prime is 76883. The reversal of 76873 is 37867.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76729 + 144 = 277^2 + 12^2 .

It is a cyclic number.

It is not a de Polignac number, because 76873 - 2¹ = 76871 is a prime.

It is a super-3 number, since 3×76873³ = 1362833324251851, which contains 333 as substring.

Together with 76871, it forms a pair of twin primes.

76873 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (76871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38436 + 38437.

It is an arithmetic number, because the mean of its divisors is an integer number (38437).

2⁷⁶⁸⁷³ is an apocalyptic number.

It is an amenable number.

76873 is a deficient number, since it is larger than the sum of its proper divisors (1).

76873 is an equidigital number, since it uses as much as digits as its factorization.

76873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7056, while the sum is 31.

The square root of 76873 is about 277.2598059582. The cubic root of 76873 is about 42.5198062239.

It can be divided in two parts, 768 and 73, that added together give a square (841 = 29²).

The spelling of 76873 in words is "seventy-six thousand, eight hundred seventy-three".