801125 has 32 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 537600.

The previous prime is 801107. The next prime is 801127. The reversal of 801125 is 521108.

801125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 591361 + 209764 = 769^2 + 458^2 .

It is not a de Polignac number, because 801125 - 2⁶ = 801061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27611 + ... + 27639.

It is an arithmetic number, because the mean of its divisors is an integer number (36855).

2⁸⁰¹¹²⁵ is an apocalyptic number.

801125 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

801125 is a deficient number, since it is larger than the sum of its proper divisors (378235).

801125 is a wasteful number, since it uses less digits than its factorization.

801125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 801125 is about 895.0558641783. The cubic root of 801125 is about 92.8752711859.

Subtracting from 801125 its sum of digits (17), we obtain a palindrome (801108).

It can be divided in two parts, 80 and 1125, that multiplied together give a square (90000 = 300²).

The spelling of 801125 in words is "eight hundred one thousand, one hundred twenty-five".