1000084365 has 36 divisors (see below), whose sum is σ = 2016501084. Its totient is φ = 457180416.

The previous prime is 1000084331. The next prime is 1000084369. The reversal of 1000084365 is 5634800001.

It can be written as a sum of positive squares in 2 ways, for example, as 599564196 + 400520169 = 24486^2 + 20013^2 .

It is not a de Polignac number, because 1000084365 - 2¹² = 1000080269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000084369) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 224572 + ... + 228981.

It is an arithmetic number, because the mean of its divisors is an integer number (56013919).

Almost surely, 2^1000084365 is an apocalyptic number.

1000084365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1000084365 is an abundant number, since it is smaller than the sum of its proper divisors (1016416719).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000084365 is a wasteful number, since it uses less digits than its factorization.

1000084365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453578 (or 453568 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1000084365 is about 31624.1105013248. The cubic root of 1000084365 is about 1000.0281208759.

Adding to 1000084365 its reverse (5634800001), we get a palindrome (6634884366).

The spelling of 1000084365 in words is "one billion, eighty-four thousand, three hundred sixty-five".