77132581 has 2 divisors, whose sum is σ = 77132582. Its totient is φ = 77132580.

The previous prime is 77132579. The next prime is 77132597. The reversal of 77132581 is 18523177.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76212900 + 919681 = 8730^2 + 959^2 .

It is an emirp because it is prime and its reverse (18523177) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77132581 - 2¹ = 77132579 is a prime.

It is a super-2 number, since 2×77132581² = 11898870103443122, which contains 22 as substring.

Together with 77132579, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77132981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38566290 + 38566291.

It is an arithmetic number, because the mean of its divisors is an integer number (38566291).

Almost surely, 2^77132581 is an apocalyptic number.

It is an amenable number.

77132581 is a deficient number, since it is larger than the sum of its proper divisors (1).

77132581 is an equidigital number, since it uses as much as digits as its factorization.

77132581 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11760, while the sum is 34.

The square root of 77132581 is about 8782.5156418876. The cubic root of 77132581 is about 425.6761205788.

The spelling of 77132581 in words is "seventy-seven million, one hundred thirty-two thousand, five hundred eighty-one".