45461 has 6 divisors (see below), whose sum is σ = 49410. Its totient is φ = 41808.

The previous prime is 45439. The next prime is 45481. The reversal of 45461 is 16454.

It is a happy number.

45461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3025 + 42436 = 55^2 + 206^2 .

It is not a de Polignac number, because 45461 - 2¹⁴ = 29077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45481) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35 + ... + 303.

It is an arithmetic number, because the mean of its divisors is an integer number (8235).

2⁴⁵⁴⁶¹ is an apocalyptic number.

It is an amenable number.

45461 is a deficient number, since it is larger than the sum of its proper divisors (3949).

45461 is a wasteful number, since it uses less digits than its factorization.

45461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 282 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 45461 is about 213.2158530691. The cubic root of 45461 is about 35.6899819411.

It can be divided in two parts, 454 and 61, that added together give a palindrome (515).

The spelling of 45461 in words is "forty-five thousand, four hundred sixty-one".