1057627417 has 48 divisors (see below), whose sum is σ = 1389975552. Its totient is φ = 795288480.

The previous prime is 1057627393. The next prime is 1057627433. The reversal of 1057627417 is 7147267501.

It is a happy number.

1057627417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1057627417 - 2²³ = 1049238809 is a prime.

It is a super-2 number, since 2×1057627417² = 2237151506380183778, 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 1057627417.

It is not an unprimeable number, because it can be changed into a prime (1057627447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2102388 + ... + 2102890.

It is an arithmetic number, because the mean of its divisors is an integer number (28957824).

Almost surely, 2^1057627417 is an apocalyptic number.

It is an amenable number.

1057627417 is a deficient number, since it is larger than the sum of its proper divisors (332348135).

1057627417 is a wasteful number, since it uses less digits than its factorization.

1057627417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 40.

The square root of 1057627417 is about 32521.1841266581. The cubic root of 1057627417 is about 1018.8515258223.

The spelling of 1057627417 in words is "one billion, fifty-seven million, six hundred twenty-seven thousand, four hundred seventeen".