2084537321 has 2 divisors, whose sum is σ = 2084537322. Its totient is φ = 2084537320.

The previous prime is 2084537303. The next prime is 2084537327. The reversal of 2084537321 is 1237354802.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1437547225 + 646990096 = 37915^2 + 25436^2 .

It is a cyclic number.

It is not a de Polignac number, because 2084537321 - 2¹⁴ = 2084520937 is a prime.

It is a super-3 number, since 3×2084537321³ (a number of 29 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2084537327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1042268660 + 1042268661.

It is an arithmetic number, because the mean of its divisors is an integer number (1042268661).

Almost surely, 2^2084537321 is an apocalyptic number.

It is an amenable number.

2084537321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2084537321 is an equidigital number, since it uses as much as digits as its factorization.

2084537321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 2084537321 is about 45656.7335778634. The cubic root of 2084537321 is about 1277.4283738371.

The spelling of 2084537321 in words is "two billion, eighty-four million, five hundred thirty-seven thousand, three hundred twenty-one".