82593001 has 2 divisors, whose sum is σ = 82593002. Its totient is φ = 82593000.

The previous prime is 82592989. The next prime is 82593029. The reversal of 82593001 is 10039528.

It is an a-pointer prime, because the next prime (82593029) can be obtained adding 82593001 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81920601 + 672400 = 9051^2 + 820^2 .

It is a cyclic number.

It is not a de Polignac number, because 82593001 - 2¹³ = 82584809 is a prime.

It is not a weakly prime, because it can be changed into another prime (82593031) 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, 41296500 + 41296501.

It is an arithmetic number, because the mean of its divisors is an integer number (41296501).

Almost surely, 2^82593001 is an apocalyptic number.

It is an amenable number.

82593001 is a deficient number, since it is larger than the sum of its proper divisors (1).

82593001 is an equidigital number, since it uses as much as digits as its factorization.

82593001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 82593001 is about 9088.0691568672. The cubic root of 82593001 is about 435.4929032031.

The spelling of 82593001 in words is "eighty-two million, five hundred ninety-three thousand, one".