981801 has 40 divisors (see below), whose sum is σ = 1672704. Its totient is φ = 570240.

The previous prime is 981797. The next prime is 981809. The reversal of 981801 is 108189.

It is not a de Polignac number, because 981801 - 2² = 981797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

981801 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981809) 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 39 ways as a sum of consecutive naturals, for example, 31656 + ... + 31686.

2⁹⁸¹⁸⁰¹ is an apocalyptic number.

It is an amenable number.

981801 is a deficient number, since it is larger than the sum of its proper divisors (690903).

981801 is a wasteful number, since it uses less digits than its factorization.

981801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 981801 is about 990.8587184861. The cubic root of 981801 is about 99.3896489619.

981801 divided by its sum of digits (27) gives a palindrome (36363).

It can be divided in two parts, 9 and 81801, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 981801 in words is "nine hundred eighty-one thousand, eight hundred one".