461727 has 24 divisors (see below), whose sum is σ = 798000. Its totient is φ = 263088.

The previous prime is 461717. The next prime is 461801. The reversal of 461727 is 727164.

It is not a de Polignac number, because 461727 - 2⁷ = 461599 is a prime.

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

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 461727.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 461727.

It is not an unprimeable number, because it can be changed into a prime (461707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1149 + ... + 1497.

It is an arithmetic number, because the mean of its divisors is an integer number (33250).

2⁴⁶¹⁷²⁷ is an apocalyptic number.

461727 is a deficient number, since it is larger than the sum of its proper divisors (336273).

461727 is a wasteful number, since it uses less digits than its factorization.

461727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 359 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 461727 is about 679.5049668693. The cubic root of 461727 is about 77.2909105578.

The spelling of 461727 in words is "four hundred sixty-one thousand, seven hundred twenty-seven".