481761 has 16 divisors (see below), whose sum is σ = 816000. Its totient is φ = 275184.

The previous prime is 481753. The next prime is 481769. The reversal of 481761 is 167184.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (481753) and next prime (481769).

It is not a de Polignac number, because 481761 - 2³ = 481753 is a prime.

It is a super-2 number, since 2×481761² = 464187322242, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (481769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1086 + ... + 1463.

It is an arithmetic number, because the mean of its divisors is an integer number (51000).

2⁴⁸¹⁷⁶¹ is an apocalyptic number.

It is an amenable number.

481761 is a deficient number, since it is larger than the sum of its proper divisors (334239).

481761 is a wasteful number, since it uses less digits than its factorization.

481761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2559 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 481761 is about 694.0900517944. The cubic root of 481761 is about 78.3929871035.

The spelling of 481761 in words is "four hundred eighty-one thousand, seven hundred sixty-one".