114577 has 2 divisors, whose sum is σ = 114578. Its totient is φ = 114576.

The previous prime is 114571. The next prime is 114593. The reversal of 114577 is 775411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 1681 = 336^2 + 41^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-114577 is a prime.

It is a plaindrome in base 10.

It is not a weakly prime, because it can be changed into another prime (114571) 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, 57288 + 57289.

It is an arithmetic number, because the mean of its divisors is an integer number (57289).

2¹¹⁴⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

114577 is a deficient number, since it is larger than the sum of its proper divisors (1).

114577 is an equidigital number, since it uses as much as digits as its factorization.

114577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 980, while the sum is 25.

The square root of 114577 is about 338.4922451106. The cubic root of 114577 is about 48.5697441334.

Adding to 114577 its reverse (775411), we get a palindrome (889988).

The spelling of 114577 in words is "one hundred fourteen thousand, five hundred seventy-seven".