177120113 has 2 divisors, whose sum is σ = 177120114. Its totient is φ = 177120112.

The previous prime is 177120103. The next prime is 177120121. The reversal of 177120113 is 311021771.

177120113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142874209 + 34245904 = 11953^2 + 5852^2 .

It is a cyclic number.

It is not a de Polignac number, because 177120113 - 2⁶ = 177120049 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (177120103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 88560056 + 88560057.

It is an arithmetic number, because the mean of its divisors is an integer number (88560057).

Almost surely, 2^177120113 is an apocalyptic number.

It is an amenable number.

177120113 is a deficient number, since it is larger than the sum of its proper divisors (1).

177120113 is an equidigital number, since it uses as much as digits as its factorization.

177120113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 294, while the sum is 23.

The square root of 177120113 is about 13308.6480530518. The cubic root of 177120113 is about 561.5942168181.

Adding to 177120113 its reverse (311021771), we get a palindrome (488141884).

The spelling of 177120113 in words is "one hundred seventy-seven million, one hundred twenty thousand, one hundred thirteen".