497993 has 2 divisors, whose sum is σ = 497994. Its totient is φ = 497992.

The previous prime is 497989. The next prime is 497999. The reversal of 497993 is 399794.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 473344 + 24649 = 688^2 + 157^2 .

It is a cyclic number.

It is not a de Polignac number, because 497993 - 2² = 497989 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 497993.

It is not a weakly prime, because it can be changed into another prime (497999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 248996 + 248997.

It is an arithmetic number, because the mean of its divisors is an integer number (248997).

2⁴⁹⁷⁹⁹³ is an apocalyptic number.

It is an amenable number.

497993 is a deficient number, since it is larger than the sum of its proper divisors (1).

497993 is an equidigital number, since it uses as much as digits as its factorization.

497993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 61236, while the sum is 41.

The square root of 497993 is about 705.6861908809. The cubic root of 497993 is about 79.2637130586.

It can be divided in two parts, 497 and 993, that multiplied together give a triangular number (493521 = T₉₉₃).

The spelling of 497993 in words is "four hundred ninety-seven thousand, nine hundred ninety-three".