783413 has 2 divisors, whose sum is σ = 783414. Its totient is φ = 783412.

The previous prime is 783407. The next prime is 783421. The reversal of 783413 is 314387.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 574564 + 208849 = 758^2 + 457^2 .

It is a cyclic number.

It is not a de Polignac number, because 783413 - 2¹⁰ = 782389 is a prime.

It is a super-2 number, since 2×783413² = 1227471857138, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (783473) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 391706 + 391707.

It is an arithmetic number, because the mean of its divisors is an integer number (391707).

2⁷⁸³⁴¹³ is an apocalyptic number.

It is an amenable number.

783413 is a deficient number, since it is larger than the sum of its proper divisors (1).

783413 is an equidigital number, since it uses as much as digits as its factorization.

783413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2016, while the sum is 26.

The square root of 783413 is about 885.1062083163. The cubic root of 783413 is about 92.1857071182.

Subtracting from 783413 its sum of digits (26), we obtain a palindrome (783387).

The spelling of 783413 in words is "seven hundred eighty-three thousand, four hundred thirteen".