77007031 has 2 divisors, whose sum is σ = 77007032. Its totient is φ = 77007030.

The previous prime is 77007017. The next prime is 77007041. The reversal of 77007031 is 13070077.

It is a strong prime.

It is an emirp because it is prime and its reverse (13070077) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77007031 - 2⁵ = 77006999 is a prime.

It is a super-2 number, since 2×77007031² = 11860165646869922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77006987 and 77007005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77007001) 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, 38503515 + 38503516.

It is an arithmetic number, because the mean of its divisors is an integer number (38503516).

Almost surely, 2^77007031 is an apocalyptic number.

77007031 is a deficient number, since it is larger than the sum of its proper divisors (1).

77007031 is an equidigital number, since it uses as much as digits as its factorization.

77007031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1029, while the sum is 25.

The square root of 77007031 is about 8775.3650066536. The cubic root of 77007031 is about 425.4450350914.

The spelling of 77007031 in words is "seventy-seven million, seven thousand, thirty-one".