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37082713 is a prime number
BaseRepresentation
bin1000110101110…
…1011001011001
32120202222220211
42031131121121
533443121323
63402451121
7630124603
oct215353131
976688824
1037082713
1119a28878
1210503aa1
1378b4a45
144cd4173
1533c770d
hex235d659

37082713 has 2 divisors, whose sum is σ = 37082714. Its totient is φ = 37082712.

The previous prime is 37082711. The next prime is 37082719. The reversal of 37082713 is 31728073.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31663129 + 5419584 = 5627^2 + 2328^2 .

It is a cyclic number.

It is not a de Polignac number, because 37082713 - 21 = 37082711 is a prime.

Together with 37082711, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (37082711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18541356 + 18541357.

It is an arithmetic number, because the mean of its divisors is an integer number (18541357).

Almost surely, 237082713 is an apocalyptic number.

It is an amenable number.

37082713 is a deficient number, since it is larger than the sum of its proper divisors (1).

37082713 is an equidigital number, since it uses as much as digits as its factorization.

37082713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 37082713 is about 6089.5577015084. The cubic root of 37082713 is about 333.4703049309.

The spelling of 37082713 in words is "thirty-seven million, eighty-two thousand, seven hundred thirteen".