8428617 has 20 divisors (see below), whose sum is σ = 13333716. Its totient is φ = 5287680.

The previous prime is 8428613. The next prime is 8428631. The reversal of 8428617 is 7168248.

It can be written as a sum of positive squares in 2 ways, for example, as 3606201 + 4822416 = 1899^2 + 2196^2 .

It is not a de Polignac number, because 8428617 - 2² = 8428613 is a prime.

It is a super-3 number, since 3×8428617³ (a number of 22 digits) contains 333 as substring.

8428617 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8428613) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1684 + ... + 4437.

Almost surely, 2^8428617 is an apocalyptic number.

It is an amenable number.

8428617 is a deficient number, since it is larger than the sum of its proper divisors (4905099).

8428617 is a wasteful number, since it uses less digits than its factorization.

8428617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6150 (or 6141 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 8428617 is about 2903.2080531715. The cubic root of 8428617 is about 203.5098526864.

It can be divided in two parts, 8428 and 617, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 8428617 in words is "eight million, four hundred twenty-eight thousand, six hundred seventeen".