77182081 has 2 divisors, whose sum is σ = 77182082. Its totient is φ = 77182080.

The previous prime is 77182069. The next prime is 77182093. The reversal of 77182081 is 18028177.

It is a balanced prime because it is at equal distance from previous prime (77182069) and next prime (77182093).

It can be written as a sum of positive squares in only one way, i.e., 70291456 + 6890625 = 8384^2 + 2625^2 .

It is a cyclic number.

It is not a de Polignac number, because 77182081 - 2⁷ = 77181953 is a prime.

It is a super-2 number, since 2×77182081² = 11914147254981122, which contains 22 as substring.

It is equal to p_4514596 and since 77182081 and 4514596 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (77182031) 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, 38591040 + 38591041.

It is an arithmetic number, because the mean of its divisors is an integer number (38591041).

Almost surely, 2^77182081 is an apocalyptic number.

It is an amenable number.

77182081 is a deficient number, since it is larger than the sum of its proper divisors (1).

77182081 is an equidigital number, since it uses as much as digits as its factorization.

77182081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6272, while the sum is 34.

The square root of 77182081 is about 8785.3332890676. Note that the first 3 decimals coincide. The cubic root of 77182081 is about 425.7671606290.

The spelling of 77182081 in words is "seventy-seven million, one hundred eighty-two thousand, eighty-one".