382813 has 2 divisors, whose sum is σ = 382814. Its totient is φ = 382812.

The previous prime is 382807. The next prime is 382843. The reversal of 382813 is 318283.

382813 = 437² + 438².

382813 is nontrivially palindromic in base 2.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 191844 + 190969 = 438^2 + 437^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-382813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (382843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 191406 + 191407.

It is an arithmetic number, because the mean of its divisors is an integer number (191407).

2³⁸²⁸¹³ is an apocalyptic number.

382813 is the 438-th centered square number.

It is an amenable number.

382813 is a deficient number, since it is larger than the sum of its proper divisors (1).

382813 is an equidigital number, since it uses as much as digits as its factorization.

382813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1152, while the sum is 25.

The square root of 382813 is about 618.7188375991. The cubic root of 382813 is about 72.6098532820.

The spelling of 382813 in words is "three hundred eighty-two thousand, eight hundred thirteen".