505357 has 2 divisors, whose sum is σ = 505358. Its totient is φ = 505356.

The previous prime is 505339. The next prime is 505367. The reversal of 505357 is 753505.

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., 385641 + 119716 = 621^2 + 346^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-505357 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252678 + 252679.

It is an arithmetic number, because the mean of its divisors is an integer number (252679).

2⁵⁰⁵³⁵⁷ is an apocalyptic number.

It is an amenable number.

505357 is a deficient number, since it is larger than the sum of its proper divisors (1).

505357 is an equidigital number, since it uses as much as digits as its factorization.

505357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2625, while the sum is 25.

The square root of 505357 is about 710.8846601243. The cubic root of 505357 is about 79.6525031766.

The spelling of 505357 in words is "five hundred five thousand, three hundred fifty-seven".