84034001 has 2 divisors, whose sum is σ = 84034002. Its totient is φ = 84034000.

The previous prime is 84033923. The next prime is 84034007. The reversal of 84034001 is 10043048.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79299025 + 4734976 = 8905^2 + 2176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-84034001 is a prime.

It is a super-4 number, since 4×84034001⁴ (a number of 33 digits) contains 4444 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (84034007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42017000 + 42017001.

It is an arithmetic number, because the mean of its divisors is an integer number (42017001).

Almost surely, 2^84034001 is an apocalyptic number.

It is an amenable number.

84034001 is a deficient number, since it is larger than the sum of its proper divisors (1).

84034001 is an equidigital number, since it uses as much as digits as its factorization.

84034001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 84034001 is about 9167.0061088667. The cubic root of 84034001 is about 438.0109965060.

Adding to 84034001 its reverse (10043048), we get a palindrome (94077049).

The spelling of 84034001 in words is "eighty-four million, thirty-four thousand, one".