1627117201 has 2 divisors, whose sum is σ = 1627117202. Its totient is φ = 1627117200.

The previous prime is 1627117199. The next prime is 1627117213. The reversal of 1627117201 is 1027117261.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1089990225 + 537126976 = 33015^2 + 23176^2 .

It is a cyclic number.

It is not a de Polignac number, because 1627117201 - 2¹ = 1627117199 is a prime.

Together with 1627117199, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 1627117201.

It is not a weakly prime, because it can be changed into another prime (1627117241) 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, 813558600 + 813558601.

It is an arithmetic number, because the mean of its divisors is an integer number (813558601).

Almost surely, 2^1627117201 is an apocalyptic number.

It is an amenable number.

1627117201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1627117201 is an equidigital number, since it uses as much as digits as its factorization.

1627117201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1176, while the sum is 28.

The square root of 1627117201 is about 40337.5408397686. The cubic root of 1627117201 is about 1176.1777118270.

It can be divided in two parts, 1627 and 117201, that added together give a triangular number (118828 = T₄₈₇).

The spelling of 1627117201 in words is "one billion, six hundred twenty-seven million, one hundred seventeen thousand, two hundred one".