61441 has 2 divisors, whose sum is σ = 61442. Its totient is φ = 61440.

The previous prime is 61417. The next prime is 61463. The reversal of 61441 is 14416.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50625 + 10816 = 225^2 + 104^2 .

It is a cyclic number.

It is not a de Polignac number, because 61441 - 2⁵ = 61409 is a prime.

It is not a weakly prime, because it can be changed into another prime (61471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30720 + 30721.

It is an arithmetic number, because the mean of its divisors is an integer number (30721).

It is a Proth number, since it is equal to 15 ⋅ 2¹² + 1 and 15 < 2¹².

2⁶¹⁴⁴¹ is an apocalyptic number.

It is an amenable number.

61441 is a deficient number, since it is larger than the sum of its proper divisors (1).

61441 is an equidigital number, since it uses as much as digits as its factorization.

61441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 96, while the sum is 16.

The square root of 61441 is about 247.8729513279. The cubic root of 61441 is about 39.4596072690.

Subtracting from 61441 its sum of digits (16), we obtain a triangular number (61425 = T₃₅₀).

Adding to 61441 its reverse (14416), we get a palindrome (75857).

It can be divided in two parts, 6 and 1441, that multiplied together give a triangular number (8646 = T₁₃₁).

The spelling of 61441 in words is "sixty-one thousand, four hundred forty-one".