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12097837 is a prime number
BaseRepresentation
bin101110001001…
…100100101101
3211202122010001
4232021210231
511044112322
61111144301
7204554443
oct56114455
924678101
1012097837
116913314
124075091
1326776ab
14186cb93
1510de827
hexb8992d

12097837 has 2 divisors, whose sum is σ = 12097838. Its totient is φ = 12097836.

The previous prime is 12097817. The next prime is 12097849. The reversal of 12097837 is 73879021.

12097837 is digitally balanced in base 2 and base 3, because in such bases 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., 12013156 + 84681 = 3466^2 + 291^2 .

It is an emirp because it is prime and its reverse (73879021) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12097837 is a prime.

It is a super-3 number, since 3×120978373 (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12097796 and 12097805.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12097817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6048918 + 6048919.

It is an arithmetic number, because the mean of its divisors is an integer number (6048919).

Almost surely, 212097837 is an apocalyptic number.

It is an amenable number.

12097837 is a deficient number, since it is larger than the sum of its proper divisors (1).

12097837 is an equidigital number, since it uses as much as digits as its factorization.

12097837 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 12097837 is about 3478.1945028995. The cubic root of 12097837 is about 229.5633618953.

It can be divided in two parts, 1209783 and 7, that added together give a triangular number (1209790 = T1555).

The spelling of 12097837 in words is "twelve million, ninety-seven thousand, eight hundred thirty-seven".