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37074313 is a prime number
BaseRepresentation
bin1000110101101…
…1010110001001
32120202120101201
42031123112021
533442334223
63402344201
7630061243
oct215332611
976676351
1037074313
1119a22531
12104bb061
1378b0c83
144cd1093
1533c4ead
hex235b589

37074313 has 2 divisors, whose sum is σ = 37074314. Its totient is φ = 37074312.

The previous prime is 37074311. The next prime is 37074337. The reversal of 37074313 is 31347073.

37074313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33790969 + 3283344 = 5813^2 + 1812^2 .

It is a cyclic number.

It is not a de Polignac number, because 37074313 - 21 = 37074311 is a prime.

Together with 37074311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (37074311) 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, 18537156 + 18537157.

It is an arithmetic number, because the mean of its divisors is an integer number (18537157).

Almost surely, 237074313 is an apocalyptic number.

It is an amenable number.

37074313 is a deficient number, since it is larger than the sum of its proper divisors (1).

37074313 is an equidigital number, since it uses as much as digits as its factorization.

37074313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5292, while the sum is 28.

The square root of 37074313 is about 6088.8679571822. The cubic root of 37074313 is about 333.4451237268.

The spelling of 37074313 in words is "thirty-seven million, seventy-four thousand, three hundred thirteen".