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37064021 is a prime number
BaseRepresentation
bin1000110101100…
…0110101010101
32120202001021112
42031120311111
533442022041
63402224405
7630016241
oct215306525
976661245
1037064021
1119a15825
12104b5105
1378a9397
144ccb421
1533c1deb
hex2358d55

37064021 has 2 divisors, whose sum is σ = 37064022. Its totient is φ = 37064020.

The previous prime is 37064011. The next prime is 37064023. The reversal of 37064021 is 12046073.

37064021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35402500 + 1661521 = 5950^2 + 1289^2 .

It is a cyclic number.

It is not a de Polignac number, because 37064021 - 210 = 37062997 is a prime.

Together with 37064023, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37064023) 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, 18532010 + 18532011.

It is an arithmetic number, because the mean of its divisors is an integer number (18532011).

Almost surely, 237064021 is an apocalyptic number.

It is an amenable number.

37064021 is a deficient number, since it is larger than the sum of its proper divisors (1).

37064021 is an equidigital number, since it uses as much as digits as its factorization.

37064021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 37064021 is about 6088.0227496290. The cubic root of 37064021 is about 333.4142655706.

The spelling of 37064021 in words is "thirty-seven million, sixty-four thousand, twenty-one".