10057627 has 6 divisors (see below), whose sum is σ = 10146444. Its totient is φ = 9969480.

The previous prime is 10057613. The next prime is 10057633. The reversal of 10057627 is 72675001.

It is a de Polignac number, because none of the positive numbers 2^k-10057627 is a prime.

It is a super-2 number, since 2×10057627² = 202311721742258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10057595 and 10057604.

It is not an unprimeable number, because it can be changed into a prime (10057667) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32608 + ... + 32914.

It is an arithmetic number, because the mean of its divisors is an integer number (1691074).

Almost surely, 2^10057627 is an apocalyptic number.

10057627 is a deficient number, since it is larger than the sum of its proper divisors (88817).

10057627 is an frugal number, since it uses more digits than its factorization.

10057627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 10057627 is about 3171.3761996963. The cubic root of 10057627 is about 215.8565219426.

The spelling of 10057627 in words is "ten million, fifty-seven thousand, six hundred twenty-seven".