985617 has 12 divisors (see below), whose sum is σ = 1439620. Its totient is φ = 649728.

The previous prime is 985613. The next prime is 985631. The reversal of 985617 is 716589.

985617 is a `hidden beast` number, since 98 + 561 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 239121 + 746496 = 489^2 + 864^2 .

It is not a de Polignac number, because 985617 - 2² = 985613 is a prime.

It is a Duffinian number.

985617 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 985617.

It is not an unprimeable number, because it can be changed into a prime (985613) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309 + ... + 1437.

2⁹⁸⁵⁶¹⁷ is an apocalyptic number.

985617 is a gapful number since it is divisible by the number (97) formed by its first and last digit.

It is an amenable number.

985617 is a deficient number, since it is larger than the sum of its proper divisors (454003).

985617 is a wasteful number, since it uses less digits than its factorization.

985617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1229 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 985617 is about 992.7824535113. The cubic root of 985617 is about 99.5182495587.

The spelling of 985617 in words is "nine hundred eighty-five thousand, six hundred seventeen".