497773 has 2 divisors, whose sum is σ = 497774. Its totient is φ = 497772.

The previous prime is 497771. The next prime is 497801. The reversal of 497773 is 377794.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 386884 + 110889 = 622^2 + 333^2 .

It is a cyclic number.

It is not a de Polignac number, because 497773 - 2¹ = 497771 is a prime.

Together with 497771, it forms a pair of twin primes.

It is a d-powerful number, because it can be written as 4⁹ + 9² + 7 + 7⁶ + 7⁶ + 3⁵ .

497773 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (497771) 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, 248886 + 248887.

It is an arithmetic number, because the mean of its divisors is an integer number (248887).

2⁴⁹⁷⁷⁷³ is an apocalyptic number.

It is an amenable number.

497773 is a deficient number, since it is larger than the sum of its proper divisors (1).

497773 is an equidigital number, since it uses as much as digits as its factorization.

497773 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 37044, while the sum is 37.

The square root of 497773 is about 705.5302970107. The cubic root of 497773 is about 79.2520391425.

It can be divided in two parts, 49777 and 3, that multiplied together give a triangular number (149331 = T₅₄₆).

The spelling of 497773 in words is "four hundred ninety-seven thousand, seven hundred seventy-three".