491121 has 12 divisors (see below), whose sum is σ = 715572. Its totient is φ = 324576.

The previous prime is 491083. The next prime is 491129. The reversal of 491121 is 121194.

It can be written as a sum of positive squares in 2 ways, for example, as 314721 + 176400 = 561^2 + 420^2 .

It is not a de Polignac number, because 491121 - 2⁷ = 490993 is a prime.

491121 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 491094 and 491103.

It is not an unprimeable number, because it can be changed into a prime (491129) 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 11 ways as a sum of consecutive naturals, for example, 1635 + ... + 1911.

It is an arithmetic number, because the mean of its divisors is an integer number (59631).

2⁴⁹¹¹²¹ is an apocalyptic number.

It is an amenable number.

491121 is a deficient number, since it is larger than the sum of its proper divisors (224451).

491121 is a wasteful number, since it uses less digits than its factorization.

491121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 477 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 491121 is about 700.8002568493. The cubic root of 491121 is about 78.8974260270.

It can be divided in two parts, 4 and 91121, that added together give a cube (91125 = 45³).

The spelling of 491121 in words is "four hundred ninety-one thousand, one hundred twenty-one".