10628617 has 4 divisors (see below), whose sum is σ = 10700100. Its totient is φ = 10557136.

The previous prime is 10628603. The next prime is 10628623. The reversal of 10628617 is 71682601.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 71682601 = 757 ⋅94693.

It can be written as a sum of positive squares in 2 ways, for example, as 2653641 + 7974976 = 1629^2 + 2824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10628617 is a prime.

It is a super-3 number, since 3×10628617³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10628017) 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, 35518 + ... + 35815.

It is an arithmetic number, because the mean of its divisors is an integer number (2675025).

Almost surely, 2^10628617 is an apocalyptic number.

It is an amenable number.

10628617 is a deficient number, since it is larger than the sum of its proper divisors (71483).

10628617 is an equidigital number, since it uses as much as digits as its factorization.

10628617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71482.

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 10628617 is about 3260.1559778636. The cubic root of 10628617 is about 219.8664271823.

The spelling of 10628617 in words is "ten million, six hundred twenty-eight thousand, six hundred seventeen".