1829145005 has 16 divisors (see below), whose sum is σ = 2348060400. Its totient is φ = 1363034112.

The previous prime is 1829145001. The next prime is 1829145007. The reversal of 1829145005 is 5005419281.

It can be written as a sum of positive squares in 8 ways, for example, as 17280649 + 1811864356 = 4157^2 + 42566^2 .

It is a cyclic number.

It is not a de Polignac number, because 1829145005 - 2² = 1829145001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1829145001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102680 + ... + 119169.

It is an arithmetic number, because the mean of its divisors is an integer number (146753775).

Almost surely, 2^1829145005 is an apocalyptic number.

It is an amenable number.

1829145005 is a deficient number, since it is larger than the sum of its proper divisors (518915395).

1829145005 is a wasteful number, since it uses less digits than its factorization.

1829145005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221968.

The product of its (nonzero) digits is 14400, while the sum is 35.

The square root of 1829145005 is about 42768.5048253969. The cubic root of 1829145005 is about 1222.9706798147.

The spelling of 1829145005 in words is "one billion, eight hundred twenty-nine million, one hundred forty-five thousand, five".