820084515 has 16 divisors (see below), whose sum is σ = 1312490400. Its totient is φ = 437260032.

The previous prime is 820084513. The next prime is 820084541. The reversal of 820084515 is 515480028.

It is not a de Polignac number, because 820084515 - 2¹ = 820084513 is a prime.

It is a super-2 number, since 2×820084515² = 1345077223485570450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (820084513) 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, 103101 + ... + 110769.

It is an arithmetic number, because the mean of its divisors is an integer number (82030650).

Almost surely, 2^820084515 is an apocalyptic number.

820084515 is a deficient number, since it is larger than the sum of its proper divisors (492405885).

820084515 is a wasteful number, since it uses less digits than its factorization.

820084515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14806.

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 820084515 is about 28637.1177844419. The cubic root of 820084515 is about 936.0223177983.

The spelling of 820084515 in words is "eight hundred twenty million, eighty-four thousand, five hundred fifteen".