461753 has 4 divisors (see below), whose sum is σ = 463140. Its totient is φ = 460368.

The previous prime is 461717. The next prime is 461801. The reversal of 461753 is 357164.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 139129 + 322624 = 373^2 + 568^2 .

It is a cyclic number.

It is not a de Polignac number, because 461753 - 2⁶ = 461689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (461053) 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 3 ways as a sum of consecutive naturals, for example, 143 + ... + 971.

It is an arithmetic number, because the mean of its divisors is an integer number (115785).

2⁴⁶¹⁷⁵³ is an apocalyptic number.

It is an amenable number.

461753 is a deficient number, since it is larger than the sum of its proper divisors (1387).

461753 is an equidigital number, since it uses as much as digits as its factorization.

461753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386.

The product of its digits is 2520, while the sum is 26.

The square root of 461753 is about 679.5240981746. The cubic root of 461753 is about 77.2923612895.

The spelling of 461753 in words is "four hundred sixty-one thousand, seven hundred fifty-three".