827130 has 32 divisors (see below), whose sum is σ = 2016000. Its totient is φ = 217152.

The previous prime is 827129. The next prime is 827131. The reversal of 827130 is 31728.

It is an interprime number because it is at equal distance from previous prime (827129) and next prime (827131).

It is a junction number, because it is equal to n+sod(n) for n = 827097 and 827106.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 827130.

It is not an unprimeable number, because it can be changed into a prime (827131) 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, 2196 + ... + 2544.

It is an arithmetic number, because the mean of its divisors is an integer number (63000).

2⁸²⁷¹³⁰ is an apocalyptic number.

827130 is an abundant number, since it is smaller than the sum of its proper divisors (1188870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

827130 is a wasteful number, since it uses less digits than its factorization.

827130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 827130 is about 909.4668768020. The cubic root of 827130 is about 93.8695186761.

Adding to 827130 its reverse (31728), we get a palindrome (858858).

The spelling of 827130 in words is "eight hundred twenty-seven thousand, one hundred thirty".