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82713629 is a prime number
BaseRepresentation
bin1001110111000…
…01110000011101
312202122021202202
410323201300131
5132133314004
612112501245
72023024415
oct473416035
9182567682
1082713629
1142764a79
122384a825
13141a059b
14adb1645
1573dcb1e
hex4ee1c1d

82713629 has 2 divisors, whose sum is σ = 82713630. Its totient is φ = 82713628.

The previous prime is 82713601. The next prime is 82713661. The reversal of 82713629 is 92631728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79744900 + 2968729 = 8930^2 + 1723^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82713629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82713592 and 82713601.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82713679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41356814 + 41356815.

It is an arithmetic number, because the mean of its divisors is an integer number (41356815).

Almost surely, 282713629 is an apocalyptic number.

It is an amenable number.

82713629 is a deficient number, since it is larger than the sum of its proper divisors (1).

82713629 is an equidigital number, since it uses as much as digits as its factorization.

82713629 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36288, while the sum is 38.

The square root of 82713629 is about 9094.7033486530. The cubic root of 82713629 is about 435.7048141528.

The spelling of 82713629 in words is "eighty-two million, seven hundred thirteen thousand, six hundred twenty-nine".