820149715 has 32 divisors (see below), whose sum is σ = 1229308416. Its totient is φ = 510312960.

The previous prime is 820149713. The next prime is 820149721. The reversal of 820149715 is 517941028.

It is not a de Polignac number, because 820149715 - 2¹ = 820149713 is a prime.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (820149713) 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 31 ways as a sum of consecutive naturals, for example, 245899 + ... + 249211.

It is an arithmetic number, because the mean of its divisors is an integer number (38415888).

Almost surely, 2^820149715 is an apocalyptic number.

820149715 is a deficient number, since it is larger than the sum of its proper divisors (409158701).

820149715 is a wasteful number, since it uses less digits than its factorization.

820149715 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979.

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 820149715 is about 28638.2561445351. The cubic root of 820149715 is about 936.0471229806.

The spelling of 820149715 in words is "eight hundred twenty million, one hundred forty-nine thousand, seven hundred fifteen".