42461 has 2 divisors, whose sum is σ = 42462. Its totient is φ = 42460.

The previous prime is 42457. The next prime is 42463. The reversal of 42461 is 16424.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42436 + 25 = 206^2 + 5^2 .

It is a cyclic number.

It is not a de Polignac number, because 42461 - 2² = 42457 is a prime.

Together with 42463, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21230 + 21231.

It is an arithmetic number, because the mean of its divisors is an integer number (21231).

2⁴²⁴⁶¹ is an apocalyptic number.

It is an amenable number.

42461 is a deficient number, since it is larger than the sum of its proper divisors (1).

42461 is an equidigital number, since it uses as much as digits as its factorization.

42461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 192, while the sum is 17.

The square root of 42461 is about 206.0606706774. The cubic root of 42461 is about 34.8869823893.

Adding to 42461 its reverse (16424), we get a palindrome (58885).

The spelling of 42461 in words is "forty-two thousand, four hundred sixty-one".