32461 has 8 divisors (see below), whose sum is σ = 38304. Its totient is φ = 27120.

The previous prime is 32443. The next prime is 32467. The reversal of 32461 is 16423.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 32461 - 2⁵ = 32429 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32467) 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 7 ways as a sum of consecutive naturals, for example, 30 + ... + 256.

It is an arithmetic number, because the mean of its divisors is an integer number (4788).

2³²⁴⁶¹ is an apocalyptic number.

It is an amenable number.

32461 is a deficient number, since it is larger than the sum of its proper divisors (5843).

32461 is a wasteful number, since it uses less digits than its factorization.

32461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251.

The product of its digits is 144, while the sum is 16.

The square root of 32461 is about 180.1693647655. The cubic root of 32461 is about 31.8997513763.

Adding to 32461 its reverse (16423), we get a palindrome (48884).

The spelling of 32461 in words is "thirty-two thousand, four hundred sixty-one".