61461 has 6 divisors (see below), whose sum is σ = 88790. Its totient is φ = 40968.

The previous prime is 61441. The next prime is 61463. The reversal of 61461 is 16416.

61461 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in only one way, i.e., 53361 + 8100 = 231^2 + 90^2 .

It is not a de Polignac number, because 61461 - 2⁷ = 61333 is a prime.

It is a Duffinian number.

It is a zygodrome in base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 61461.

It is not an unprimeable number, because it can be changed into a prime (61463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3406 + ... + 3423.

2⁶¹⁴⁶¹ is an apocalyptic number.

It is an amenable number.

61461 is a deficient number, since it is larger than the sum of its proper divisors (27329).

61461 is a wasteful number, since it uses less digits than its factorization.

61461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6835 (or 6832 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 61461 is about 247.9132912935. The cubic root of 61461 is about 39.4638883763.

Adding to 61461 its reverse (16416), we get a palindrome (77877).

The spelling of 61461 in words is "sixty-one thousand, four hundred sixty-one".