461825 has 36 divisors (see below), whose sum is σ = 742140. Its totient is φ = 282240.

The previous prime is 461819. The next prime is 461843. The reversal of 461825 is 528164.

It can be written as a sum of positive squares in 6 ways, for example, as 47089 + 414736 = 217^2 + 644^2 .

It is not a de Polignac number, because 461825 - 2⁸ = 461569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 461794 and 461803.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 461825.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15911 + ... + 15939.

It is an arithmetic number, because the mean of its divisors is an integer number (20615).

It is a Proth number, since it is equal to 451 ⋅ 2¹⁰ + 1 and 451 < 2¹⁰.

2⁴⁶¹⁸²⁵ is an apocalyptic number.

It is an amenable number.

461825 is a deficient number, since it is larger than the sum of its proper divisors (280315).

461825 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (461824) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (54).

461825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 54 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 461825 is about 679.5770743632. The cubic root of 461825 is about 77.2963784161.

Multiplying 461825 by its sum of digits (26), we get a triangular number (12007450 = T₄₉₀₀).

Adding to 461825 its reverse (528164), we get a palindrome (989989).

The spelling of 461825 in words is "four hundred sixty-one thousand, eight hundred twenty-five".