1604007329 has 2 divisors, whose sum is σ = 1604007330. Its totient is φ = 1604007328.

The previous prime is 1604007257. The next prime is 1604007331. The reversal of 1604007329 is 9237004061.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1094286400 + 509720929 = 33080^2 + 22577^2 .

It is a cyclic number.

It is not a de Polignac number, because 1604007329 - 2¹⁶ = 1603941793 is a prime.

It is a super-2 number, since 2×1604007329² = 5145679022971428482, which contains 22 as substring.

Together with 1604007331, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1604007295 and 1604007304.

It is not a weakly prime, because it can be changed into another prime (1604007359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 802003664 + 802003665.

It is an arithmetic number, because the mean of its divisors is an integer number (802003665).

Almost surely, 2^1604007329 is an apocalyptic number.

It is an amenable number.

1604007329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1604007329 is an equidigital number, since it uses as much as digits as its factorization.

1604007329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 1604007329 is about 40050.0602870957. The cubic root of 1604007329 is about 1170.5827396345.

The spelling of 1604007329 in words is "one billion, six hundred four million, seven thousand, three hundred twenty-nine".