8027073 has 16 divisors (see below), whose sum is σ = 11956800. Its totient is φ = 5322240.

The previous prime is 8027059. The next prime is 8027093. The reversal of 8027073 is 3707208.

It is not a de Polignac number, because 8027073 - 2⁹ = 8026561 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

8027073 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8027053) 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, 4993 + ... + 6401.

It is an arithmetic number, because the mean of its divisors is an integer number (747300).

Almost surely, 2^8027073 is an apocalyptic number.

It is an amenable number.

8027073 is a deficient number, since it is larger than the sum of its proper divisors (3929727).

8027073 is a wasteful number, since it uses less digits than its factorization.

8027073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 8027073 is about 2833.2089580545. The cubic root of 8027073 is about 200.2253543151.

It can be divided in two parts, 802 and 7073, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 8027073 in words is "eight million, twenty-seven thousand, seventy-three".