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37082993 is a prime number
BaseRepresentation
bin1000110101110…
…1011101110001
32120210000022012
42031131131301
533443123433
63402452305
7630125453
oct215353561
976700265
1037082993
1119a29002
1210504095
1378b4bcc
144cd42d3
1533c7848
hex235d771

37082993 has 2 divisors, whose sum is σ = 37082994. Its totient is φ = 37082992.

The previous prime is 37082963. The next prime is 37083017. The reversal of 37082993 is 39928073.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21464689 + 15618304 = 4633^2 + 3952^2 .

It is a cyclic number.

It is not a de Polignac number, because 37082993 - 210 = 37081969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 37082993.

It is not a weakly prime, because it can be changed into another prime (37082963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18541496 + 18541497.

It is an arithmetic number, because the mean of its divisors is an integer number (18541497).

Almost surely, 237082993 is an apocalyptic number.

It is an amenable number.

37082993 is a deficient number, since it is larger than the sum of its proper divisors (1).

37082993 is an equidigital number, since it uses as much as digits as its factorization.

37082993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 37082993 is about 6089.5806916404. The cubic root of 37082993 is about 333.4711442388.

The spelling of 37082993 in words is "thirty-seven million, eighty-two thousand, nine hundred ninety-three".