772127 has 2 divisors, whose sum is σ = 772128. Its totient is φ = 772126.

The previous prime is 772097. The next prime is 772139. The reversal of 772127 is 721277.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-772127 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 772096 and 772105.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 772127.

It is not a weakly prime, because it can be changed into another prime (772147) 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, 386063 + 386064.

It is an arithmetic number, because the mean of its divisors is an integer number (386064).

2⁷⁷²¹²⁷ is an apocalyptic number.

772127 is a deficient number, since it is larger than the sum of its proper divisors (1).

772127 is an equidigital number, since it uses as much as digits as its factorization.

772127 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1372, while the sum is 26.

The square root of 772127 is about 878.7075736558. The cubic root of 772127 is about 91.7408824128.

The spelling of 772127 in words is "seven hundred seventy-two thousand, one hundred twenty-seven", and thus it is an iban number.