177340013 has 2 divisors, whose sum is σ = 177340014. Its totient is φ = 177340012.

The previous prime is 177339997. The next prime is 177340019. The reversal of 177340013 is 310043771.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105124009 + 72216004 = 10253^2 + 8498^2 .

It is an emirp because it is prime and its reverse (310043771) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 177340013 - 2⁴ = 177339997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (177340019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 88670006 + 88670007.

It is an arithmetic number, because the mean of its divisors is an integer number (88670007).

Almost surely, 2^177340013 is an apocalyptic number.

It is an amenable number.

177340013 is a deficient number, since it is larger than the sum of its proper divisors (1).

177340013 is an equidigital number, since it uses as much as digits as its factorization.

177340013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 177340013 is about 13316.9070357948. The cubic root of 177340013 is about 561.8265327947.

Adding to 177340013 its reverse (310043771), we get a palindrome (487383784).

The spelling of 177340013 in words is "one hundred seventy-seven million, three hundred forty thousand, thirteen".