48461 has 12 divisors (see below), whose sum is σ = 60192. Its totient is φ = 38808.

The previous prime is 48449. The next prime is 48463. The reversal of 48461 is 16484.

It is a happy number.

It is not a de Polignac number, because 48461 - 2⁶ = 48397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48463) 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, 1106 + ... + 1148.

It is an arithmetic number, because the mean of its divisors is an integer number (5016).

2⁴⁸⁴⁶¹ is an apocalyptic number.

It is an amenable number.

48461 is a deficient number, since it is larger than the sum of its proper divisors (11731).

48461 is a wasteful number, since it uses less digits than its factorization.

48461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 73 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 48461 is about 220.1385927092. The cubic root of 48461 is about 36.4583875555.

Adding to 48461 its sum of digits (23), we get a palindrome (48484).

It can be divided in two parts, 484 and 61, that added together give a palindrome (545).

The spelling of 48461 in words is "forty-eight thousand, four hundred sixty-one".