1829957285 has 16 divisors (see below), whose sum is σ = 2428786416. Its totient is φ = 1314828288.

The previous prime is 1829957263. The next prime is 1829957287. The reversal of 1829957285 is 5827599281.

It is a Cunningham number, because it is equal to 42778²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 7606564 + 1822350721 = 2758^2 + 42689^2 .

It is a cyclic number.

It is not a de Polignac number, because 1829957285 - 2²⁰ = 1828908709 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1829957285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1829957287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378044 + ... + 382853.

It is an arithmetic number, because the mean of its divisors is an integer number (151799151).

Almost surely, 2^1829957285 is an apocalyptic number.

It is an amenable number.

1829957285 is a deficient number, since it is larger than the sum of its proper divisors (598829131).

1829957285 is a wasteful number, since it uses less digits than its factorization.

1829957285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760952.

The product of its digits is 3628800, while the sum is 56.

The square root of 1829957285 is about 42778.0000116883. Note that the first 4 decimals coincide. The cubic root of 1829957285 is about 1223.1516838011.

The spelling of 1829957285 in words is "one billion, eight hundred twenty-nine million, nine hundred fifty-seven thousand, two hundred eighty-five".