772142857 has 2 divisors, whose sum is σ = 772142858. Its totient is φ = 772142856.

The previous prime is 772142851. The next prime is 772142863. The reversal of 772142857 is 758241277.

772142857 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (772142851) and next prime (772142863).

It can be written as a sum of positive squares in only one way, i.e., 756745081 + 15397776 = 27509^2 + 3924^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-772142857 is a prime.

It is a super-2 number, since 2×772142857² = 1192409183232244898, which contains 22 as substring.

772142857 is a modest number, since divided by 142857 gives 772 as remainder.

It is not a weakly prime, because it can be changed into another prime (772142851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 386071428 + 386071429.

It is an arithmetic number, because the mean of its divisors is an integer number (386071429).

Almost surely, 2^772142857 is an apocalyptic number.

It is an amenable number.

772142857 is a deficient number, since it is larger than the sum of its proper divisors (1).

772142857 is an equidigital number, since it uses as much as digits as its factorization.

772142857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 219520, while the sum is 43.

The square root of 772142857 is about 27787.4586279494. The cubic root of 772142857 is about 917.4151042921.

The spelling of 772142857 in words is "seven hundred seventy-two million, one hundred forty-two thousand, eight hundred fifty-seven".