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37413097 is a prime number
BaseRepresentation
bin1000111010111…
…0000011101001
32121101210010021
42032232003221
534034204342
63413520441
7633002041
oct216560351
977353107
1037413097
111a134017
1210643121
13799c237
144d7c721
153440567
hex23ae0e9

37413097 has 2 divisors, whose sum is σ = 37413098. Its totient is φ = 37413096.

The previous prime is 37413091. The next prime is 37413113. The reversal of 37413097 is 79031473.

37413097 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., 37197801 + 215296 = 6099^2 + 464^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-37413097 is a prime.

It is not a weakly prime, because it can be changed into another prime (37413091) 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, 18706548 + 18706549.

It is an arithmetic number, because the mean of its divisors is an integer number (18706549).

Almost surely, 237413097 is an apocalyptic number.

It is an amenable number.

37413097 is a deficient number, since it is larger than the sum of its proper divisors (1).

37413097 is an equidigital number, since it uses as much as digits as its factorization.

37413097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15876, while the sum is 34.

The square root of 37413097 is about 6116.6246410909. The cubic root of 37413097 is about 334.4577162470.

The spelling of 37413097 in words is "thirty-seven million, four hundred thirteen thousand, ninety-seven".