120827657 has 2 divisors, whose sum is σ = 120827658. Its totient is φ = 120827656.

The previous prime is 120827611. The next prime is 120827683. The reversal of 120827657 is 756728021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112699456 + 8128201 = 10616^2 + 2851^2 .

It is a cyclic number.

It is not a de Polignac number, because 120827657 - 2⁸ = 120827401 is a prime.

It is a super-2 number, since 2×120827657² = 29198645392219298, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120827657.

It is not a weakly prime, because it can be changed into another prime (120857657) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60413828 + 60413829.

It is an arithmetic number, because the mean of its divisors is an integer number (60413829).

Almost surely, 2^120827657 is an apocalyptic number.

It is an amenable number.

120827657 is a deficient number, since it is larger than the sum of its proper divisors (1).

120827657 is an equidigital number, since it uses as much as digits as its factorization.

120827657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 120827657 is about 10992.1634358301. The cubic root of 120827657 is about 494.3738053228.

The spelling of 120827657 in words is "one hundred twenty million, eight hundred twenty-seven thousand, six hundred fifty-seven".