813493 has 2 divisors, whose sum is σ = 813494. Its totient is φ = 813492.

The previous prime is 813443. The next prime is 813499. The reversal of 813493 is 394318.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 603729 + 209764 = 777^2 + 458^2 .

It is a cyclic number.

It is not a de Polignac number, because 813493 - 2¹⁷ = 682421 is a prime.

It is a super-2 number, since 2×813493² = 1323541722098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (813499) 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, 406746 + 406747.

It is an arithmetic number, because the mean of its divisors is an integer number (406747).

2⁸¹³⁴⁹³ is an apocalyptic number.

It is an amenable number.

813493 is a deficient number, since it is larger than the sum of its proper divisors (1).

813493 is an equidigital number, since it uses as much as digits as its factorization.

813493 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 28.

The square root of 813493 is about 901.9384679677. The cubic root of 813493 is about 93.3507776351.

Subtracting from 813493 its product of digits (2592), we obtain a triangular number (810901 = T₁₂₇₃).

The spelling of 813493 in words is "eight hundred thirteen thousand, four hundred ninety-three".