821214 has 24 divisors (see below), whose sum is σ = 1822392. Its totient is φ = 267120.

The previous prime is 821209. The next prime is 821263. The reversal of 821214 is 412128.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

821214 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244 + ... + 1304.

It is an arithmetic number, because the mean of its divisors is an integer number (75933).

2⁸²¹²¹⁴ is an apocalyptic number.

821214 is an abundant number, since it is smaller than the sum of its proper divisors (1001178).

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

821214 is a wasteful number, since it uses less digits than its factorization.

821214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1109 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 821214 is about 906.2085852606. The cubic root of 821214 is about 93.6451841892.

It can be divided in two parts, 821 and 214, that added together give a triangular number (1035 = T₄₅).

The spelling of 821214 in words is "eight hundred twenty-one thousand, two hundred fourteen".