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3213829 is a prime number
BaseRepresentation
bin1100010000101000000101
320001021112201
430100220011
51310320304
6152514501
736213523
oct14205005
96037481
103213829
1118a5663
1210aba31
13886a98
145d9313
154373a4
hex310a05

3213829 has 2 divisors, whose sum is σ = 3213830. Its totient is φ = 3213828.

The previous prime is 3213827. The next prime is 3213839. The reversal of 3213829 is 9283123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2883204 + 330625 = 1698^2 + 575^2 .

It is a cyclic number.

It is not a de Polignac number, because 3213829 - 21 = 3213827 is a prime.

Together with 3213827, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 3213797 and 3213806.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3213827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1606914 + 1606915.

It is an arithmetic number, because the mean of its divisors is an integer number (1606915).

Almost surely, 23213829 is an apocalyptic number.

It is an amenable number.

3213829 is a deficient number, since it is larger than the sum of its proper divisors (1).

3213829 is an equidigital number, since it uses as much as digits as its factorization.

3213829 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 3213829 is about 1792.7155379479. The cubic root of 3213829 is about 147.5732318533.

It can be divided in two parts, 32 and 13829, that added together give a triangular number (13861 = T166).

The spelling of 3213829 in words is "three million, two hundred thirteen thousand, eight hundred twenty-nine".