8164051 has 16 divisors (see below), whose sum is σ = 9757440. Its totient is φ = 6683040.

The previous prime is 8164033. The next prime is 8164069. The reversal of 8164051 is 1504618.

8164051 = 29² + 30² + ... + 290².

It is an interprime number because it is at equal distance from previous prime (8164033) and next prime (8164069).

It is not a de Polignac number, because 8164051 - 2⁷ = 8163923 is a prime.

8164051 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8164031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26440 + ... + 26746.

It is an arithmetic number, because the mean of its divisors is an integer number (609840).

Almost surely, 2^8164051 is an apocalyptic number.

8164051 is a deficient number, since it is larger than the sum of its proper divisors (1593389).

8164051 is a wasteful number, since it uses less digits than its factorization.

8164051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474.

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 8164051 is about 2857.2803502632. The cubic root of 8164051 is about 201.3578519935.

Adding to 8164051 its reverse (1504618), we get a palindrome (9668669).

The spelling of 8164051 in words is "eight million, one hundred sixty-four thousand, fifty-one".