253417 has 2 divisors, whose sum is σ = 253418. Its totient is φ = 253416.

The previous prime is 253387. The next prime is 253423. The reversal of 253417 is 714352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 177241 + 76176 = 421^2 + 276^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-253417 is a prime.

It is not a weakly prime, because it can be changed into another prime (253427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126708 + 126709.

It is an arithmetic number, because the mean of its divisors is an integer number (126709).

2²⁵³⁴¹⁷ is an apocalyptic number.

It is an amenable number.

253417 is a deficient number, since it is larger than the sum of its proper divisors (1).

253417 is an equidigital number, since it uses as much as digits as its factorization.

253417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 840, while the sum is 22.

The square root of 253417 is about 503.4054032288. The cubic root of 253417 is about 63.2817647319.

Adding to 253417 its reverse (714352), we get a palindrome (967769).

It can be divided in two parts, 253 and 417, that multiplied together give a palindrome (105501).

The spelling of 253417 in words is "two hundred fifty-three thousand, four hundred seventeen".