461131 has 12 divisors (see below), whose sum is σ = 525616. Its totient is φ = 403920.

The previous prime is 461119. The next prime is 461143. The reversal of 461131 is 131164.

It is an interprime number because it is at equal distance from previous prime (461119) and next prime (461143).

It is not a de Polignac number, because 461131 - 2⁹ = 460619 is a prime.

It is a super-2 number, since 2×461131² = 425283598322, which contains 22 as substring.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

461131 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (461101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4426 + ... + 4528.

2⁴⁶¹¹³¹ is an apocalyptic number.

461131 is a deficient number, since it is larger than the sum of its proper divisors (64485).

461131 is a wasteful number, since it uses less digits than its factorization.

461131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 151 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 461131 is about 679.0662706982. The cubic root of 461131 is about 77.2576403806.

Adding to 461131 its reverse (131164), we get a palindrome (592295).

The spelling of 461131 in words is "four hundred sixty-one thousand, one hundred thirty-one".