114177013 has 2 divisors, whose sum is σ = 114177014. Its totient is φ = 114177012.

The previous prime is 114176987. The next prime is 114177029. The reversal of 114177013 is 310771411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96687889 + 17489124 = 9833^2 + 4182^2 .

It is an emirp because it is prime and its reverse (310771411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114177013 - 2⁹ = 114176501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114177043) 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, 57088506 + 57088507.

It is an arithmetic number, because the mean of its divisors is an integer number (57088507).

Almost surely, 2^114177013 is an apocalyptic number.

It is an amenable number.

114177013 is a deficient number, since it is larger than the sum of its proper divisors (1).

114177013 is an equidigital number, since it uses as much as digits as its factorization.

114177013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 588, while the sum is 25.

The square root of 114177013 is about 10685.3644299107. The cubic root of 114177013 is about 485.1315942911.

The spelling of 114177013 in words is "one hundred fourteen million, one hundred seventy-seven thousand, thirteen".