801567 has 36 divisors (see below), whose sum is σ = 1370304. Its totient is φ = 449280.

The previous prime is 801557. The next prime is 801569. The reversal of 801567 is 765108.

It is not a de Polignac number, because 801567 - 2⁴ = 801551 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 801567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801569) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25842 + ... + 25872.

It is an arithmetic number, because the mean of its divisors is an integer number (38064).

2⁸⁰¹⁵⁶⁷ is an apocalyptic number.

801567 is a deficient number, since it is larger than the sum of its proper divisors (568737).

801567 is a wasteful number, since it uses less digits than its factorization.

801567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 801567 is about 895.3027420934. The cubic root of 801567 is about 92.8923485552.

The spelling of 801567 in words is "eight hundred one thousand, five hundred sixty-seven".