Search a number
-
+
37074097 is a prime number
BaseRepresentation
bin1000110101101…
…1010010110001
32120202120002201
42031123102301
533442332342
63402343201
7630060514
oct215332261
976676081
1037074097
1119a22355
12104bab01
1378b0b48
144cd0d7b
1533c4db7
hex235b4b1

37074097 has 2 divisors, whose sum is σ = 37074098. Its totient is φ = 37074096.

The previous prime is 37074077. The next prime is 37074119. The reversal of 37074097 is 79047073.

37074097 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., 24049216 + 13024881 = 4904^2 + 3609^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-37074097 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (37074077) 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, 18537048 + 18537049.

It is an arithmetic number, because the mean of its divisors is an integer number (18537049).

Almost surely, 237074097 is an apocalyptic number.

It is an amenable number.

37074097 is a deficient number, since it is larger than the sum of its proper divisors (1).

37074097 is an equidigital number, since it uses as much as digits as its factorization.

37074097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37044, while the sum is 37.

The square root of 37074097 is about 6088.8502198691. The cubic root of 37074097 is about 333.4444761599. Note that the first 4 decimals are identical.

The spelling of 37074097 in words is "thirty-seven million, seventy-four thousand, ninety-seven".