52461 has 16 divisors (see below), whose sum is σ = 81600. Its totient is φ = 33264.

The previous prime is 52457. The next prime is 52489. The reversal of 52461 is 16425.

It is a happy number.

It is not a de Polignac number, because 52461 - 2² = 52457 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750 + ... + 816.

It is an arithmetic number, because the mean of its divisors is an integer number (5100).

2⁵²⁴⁶¹ is an apocalyptic number.

It is an amenable number.

52461 is a deficient number, since it is larger than the sum of its proper divisors (29139).

52461 is a wasteful number, since it uses less digits than its factorization.

52461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 99 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 52461 is about 229.0436639595. The cubic root of 52461 is about 37.4350877020.

Adding to 52461 its reverse (16425), we get a palindrome (68886).

It can be divided in two parts, 524 and 61, that added together give a palindrome (585).

The spelling of 52461 in words is "fifty-two thousand, four hundred sixty-one".