80575971 has 32 divisors (see below), whose sum is σ = 131696640. Its totient is φ = 42771456.

The previous prime is 80575931. The next prime is 80575987. The reversal of 80575971 is 17957508.

It is not a de Polignac number, because 80575971 - 2⁹ = 80575459 is a prime.

It is not an unprimeable number, because it can be changed into a prime (80575931) 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, 26775 + ... + 29631.

It is an arithmetic number, because the mean of its divisors is an integer number (4115520).

Almost surely, 2^80575971 is an apocalyptic number.

80575971 is a deficient number, since it is larger than the sum of its proper divisors (51120669).

80575971 is a wasteful number, since it uses less digits than its factorization.

80575971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963.

The product of its (nonzero) digits is 88200, while the sum is 42.

The square root of 80575971 is about 8976.4119223663. The cubic root of 80575971 is about 431.9185428120.

It can be divided in two parts, 8057 and 5971, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 80575971 in words is "eighty million, five hundred seventy-five thousand, nine hundred seventy-one".