981617 has 24 divisors (see below), whose sum is σ = 1302336. Its totient is φ = 731808.

The previous prime is 981601. The next prime is 981623. The reversal of 981617 is 716189.

981617 = T₁₃₃ + T₁₃₄ + ... + T₂₀₁.

It is not a de Polignac number, because 981617 - 2⁴ = 981601 is a prime.

981617 is a modest number, since divided by 1617 gives 98 as remainder.

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 981617.

It is not an unprimeable number, because it can be changed into a prime (981637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14618 + ... + 14684.

It is an arithmetic number, because the mean of its divisors is an integer number (54264).

2⁹⁸¹⁶¹⁷ is an apocalyptic number.

It is an amenable number.

981617 is a deficient number, since it is larger than the sum of its proper divisors (320719).

981617 is a wasteful number, since it uses less digits than its factorization.

981617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 110 counting only the distinct ones).

The product of its digits is 3024, while the sum is 32.

The square root of 981617 is about 990.7658653789. The cubic root of 981617 is about 99.3834396798.

The spelling of 981617 in words is "nine hundred eighty-one thousand, six hundred seventeen".