1004334377 has 2 divisors, whose sum is σ = 1004334378. Its totient is φ = 1004334376.

The previous prime is 1004334349. The next prime is 1004334379. The reversal of 1004334377 is 7734334001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1002418921 + 1915456 = 31661^2 + 1384^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1004334377 is a prime.

It is a super-3 number, since 3×1004334377³ (a number of 28 digits) contains 333 as substring.

Together with 1004334379, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1004334379) 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, 502167188 + 502167189.

It is an arithmetic number, because the mean of its divisors is an integer number (502167189).

Almost surely, 2^1004334377 is an apocalyptic number.

It is an amenable number.

1004334377 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004334377 is an equidigital number, since it uses as much as digits as its factorization.

1004334377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 32.

The square root of 1004334377 is about 31691.2350185347. The cubic root of 1004334377 is about 1001.4427099205.

Adding to 1004334377 its reverse (7734334001), we get a palindrome (8738668378).

The spelling of 1004334377 in words is "one billion, four million, three hundred thirty-four thousand, three hundred seventy-seven".