827370 has 48 divisors (see below), whose sum is σ = 2232360. Its totient is φ = 212352.

The previous prime is 827369. The next prime is 827389. The reversal of 827370 is 73728.

It can be written as a sum of positive squares in 4 ways, for example, as 463761 + 363609 = 681^2 + 603^2 .

It is a super-2 number, since 2×827370² = 1369082233800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2452 + ... + 2768.

2⁸²⁷³⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116180).

827370 is an abundant number, since it is smaller than the sum of its proper divisors (1404990).

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

827370 is a wasteful number, since it uses less digits than its factorization.

827370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 356 counting only the distinct ones).

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

The square root of 827370 is about 909.5988126641. The cubic root of 827370 is about 93.8785968564.

The spelling of 827370 in words is "eight hundred twenty-seven thousand, three hundred seventy".