127133 has 2 divisors, whose sum is σ = 127134. Its totient is φ = 127132.

The previous prime is 127123. The next prime is 127139. The reversal of 127133 is 331721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120409 + 6724 = 347^2 + 82^2 .

It is a cyclic number.

It is not a de Polignac number, because 127133 - 2¹⁴ = 110749 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (127139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63566 + 63567.

It is an arithmetic number, because the mean of its divisors is an integer number (63567).

2¹²⁷¹³³ is an apocalyptic number.

It is an amenable number.

127133 is a deficient number, since it is larger than the sum of its proper divisors (1).

127133 is an equidigital number, since it uses as much as digits as its factorization.

127133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 126, while the sum is 17.

The square root of 127133 is about 356.5571482946. The cubic root of 127133 is about 50.2827974960.

Adding to 127133 its reverse (331721), we get a palindrome (458854).

The spelling of 127133 in words is "one hundred twenty-seven thousand, one hundred thirty-three".