57413 has 2 divisors, whose sum is σ = 57414. Its totient is φ = 57412.

The previous prime is 57397. The next prime is 57427. The reversal of 57413 is 31475.

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., 37249 + 20164 = 193^2 + 142^2 .

It is a cyclic number.

It is not a de Polignac number, because 57413 - 2⁴ = 57397 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

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 (57493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28706 + 28707.

It is an arithmetic number, because the mean of its divisors is an integer number (28707).

2⁵⁷⁴¹³ is an apocalyptic number.

It is an amenable number.

57413 is a deficient number, since it is larger than the sum of its proper divisors (1).

57413 is an equidigital number, since it uses as much as digits as its factorization.

57413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 420, while the sum is 20.

The square root of 57413 is about 239.6100999541. The cubic root of 57413 is about 38.5777369002.

Adding to 57413 its reverse (31475), we get a palindrome (88888).

The spelling of 57413 in words is "fifty-seven thousand, four hundred thirteen".