127540031 has 2 divisors, whose sum is σ = 127540032. Its totient is φ = 127540030.

The previous prime is 127540019. The next prime is 127540033. The reversal of 127540031 is 130045721.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 127540031 - 2¹⁰ = 127539007 is a prime.

It is a super-2 number, since 2×127540031² = 32532919014961922, which contains 22 as substring.

Together with 127540033, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 127539979 and 127540006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (127540033) 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, 63770015 + 63770016.

It is an arithmetic number, because the mean of its divisors is an integer number (63770016).

Almost surely, 2^127540031 is an apocalyptic number.

127540031 is a deficient number, since it is larger than the sum of its proper divisors (1).

127540031 is an equidigital number, since it uses as much as digits as its factorization.

127540031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 127540031 is about 11293.3622539968. The cubic root of 127540031 is about 503.3640239267.

Adding to 127540031 its reverse (130045721), we get a palindrome (257585752).

The spelling of 127540031 in words is "one hundred twenty-seven million, five hundred forty thousand, thirty-one".