827421 has 24 divisors (see below), whose sum is σ = 1334592. Its totient is φ = 446400.

The previous prime is 827417. The next prime is 827423. The reversal of 827421 is 124728.

It is not a de Polignac number, because 827421 - 2² = 827417 is a prime.

It is a super-2 number, since 2×827421² = 1369251022482, which contains 22 as substring.

827421 is a lucky number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 827391 and 827400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20161 + ... + 20201.

It is an arithmetic number, because the mean of its divisors is an integer number (55608).

2⁸²⁷⁴²¹ is an apocalyptic number.

It is an amenable number.

827421 is a deficient number, since it is larger than the sum of its proper divisors (507171).

827421 is a wasteful number, since it uses less digits than its factorization.

827421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 82 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 827421 is about 909.6268465695. The cubic root of 827421 is about 93.8805257435.

It can be divided in two parts, 82 and 7421, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 827421 in words is "eight hundred twenty-seven thousand, four hundred twenty-one".