10627657 has 4 divisors (see below), whose sum is σ = 10640916. Its totient is φ = 10614400.

The previous prime is 10627627. The next prime is 10627681. The reversal of 10627657 is 75672601.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 75672601 = 8699².

It can be written as a sum of positive squares in 2 ways, for example, as 7311616 + 3316041 = 2704^2 + 1821^2 .

It is a cyclic number.

It is not a de Polignac number, because 10627657 - 2²³ = 2239049 is a prime.

It is a super-2 number, since 2×10627657² = 225894186619298, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10627627) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5344 + ... + 7057.

It is an arithmetic number, because the mean of its divisors is an integer number (2660229).

Almost surely, 2^10627657 is an apocalyptic number.

It is an amenable number.

10627657 is a deficient number, since it is larger than the sum of its proper divisors (13259).

10627657 is an equidigital number, since it uses as much as digits as its factorization.

10627657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13258.

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 10627657 is about 3260.0087423196. The cubic root of 10627657 is about 219.8598073770.

The spelling of 10627657 in words is "ten million, six hundred twenty-seven thousand, six hundred fifty-seven".