461133 has 10 divisors (see below), whose sum is σ = 688974. Its totient is φ = 307368.

The previous prime is 461119. The next prime is 461143. The reversal of 461133 is 331164.

It can be written as a sum of positive squares in only one way, i.e., 311364 + 149769 = 558^2 + 387^2 .

It is not a de Polignac number, because 461133 - 2⁵ = 461101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461143) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2766 + ... + 2927.

2⁴⁶¹¹³³ is an apocalyptic number.

It is an amenable number.

461133 is a deficient number, since it is larger than the sum of its proper divisors (227841).

461133 is an equidigital number, since it uses as much as digits as its factorization.

461133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5705 (or 5696 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 461133 is about 679.0677433070. The cubic root of 461133 is about 77.2577520734.

Adding to 461133 its reverse (331164), we get a palindrome (792297).

The spelling of 461133 in words is "four hundred sixty-one thousand, one hundred thirty-three".