8292001 has 2 divisors, whose sum is σ = 8292002. Its totient is φ = 8292000.

The previous prime is 8291989. The next prime is 8292017. The reversal of 8292001 is 1002928.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7290000 + 1002001 = 2700^2 + 1001^2 .

It is a cyclic number.

It is not a de Polignac number, because 8292001 - 2¹³ = 8283809 is a prime.

It is a Chen prime.

8292001 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (8292071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4146000 + 4146001.

It is an arithmetic number, because the mean of its divisors is an integer number (4146001).

Almost surely, 2^8292001 is an apocalyptic number.

It is an amenable number.

8292001 is a deficient number, since it is larger than the sum of its proper divisors (1).

8292001 is an equidigital number, since it uses as much as digits as its factorization.

8292001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 8292001 is about 2879.5834768244. The cubic root of 8292001 is about 202.4043220213.

Adding to 8292001 its reverse (1002928), we get a palindrome (9294929).

The spelling of 8292001 in words is "eight million, two hundred ninety-two thousand, one".