73853257 has 2 divisors, whose sum is σ = 73853258. Its totient is φ = 73853256.

The previous prime is 73853251. The next prime is 73853261. The reversal of 73853257 is 75235837.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73599241 + 254016 = 8579^2 + 504^2 .

It is a cyclic number.

It is not a de Polignac number, because 73853257 - 2¹⁵ = 73820489 is a prime.

It is not a weakly prime, because it can be changed into another prime (73853251) 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, 36926628 + 36926629.

It is an arithmetic number, because the mean of its divisors is an integer number (36926629).

Almost surely, 2^73853257 is an apocalyptic number.

It is an amenable number.

73853257 is a deficient number, since it is larger than the sum of its proper divisors (1).

73853257 is an equidigital number, since it uses as much as digits as its factorization.

73853257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 176400, while the sum is 40.

The square root of 73853257 is about 8593.7917708076. The cubic root of 73853257 is about 419.5559498111. Note that the first 3 decimals are identical.

The spelling of 73853257 in words is "seventy-three million, eight hundred fifty-three thousand, two hundred fifty-seven".