76837 has 2 divisors, whose sum is σ = 76838. Its totient is φ = 76836.

The previous prime is 76831. The next prime is 76847. The reversal of 76837 is 73867.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64516 + 12321 = 254^2 + 111^2 .

It is an emirp because it is prime and its reverse (73867) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 76837 - 2³ = 76829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 76799 and 76808.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (76831) 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, 38418 + 38419.

It is an arithmetic number, because the mean of its divisors is an integer number (38419).

2⁷⁶⁸³⁷ is an apocalyptic number.

It is an amenable number.

76837 is a deficient number, since it is larger than the sum of its proper divisors (1).

76837 is an equidigital number, since it uses as much as digits as its factorization.

76837 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 76837 is about 277.1948772975. The cubic root of 76837 is about 42.5131677768.

The spelling of 76837 in words is "seventy-six thousand, eight hundred thirty-seven".