821416 has 8 divisors (see below), whose sum is σ = 1540170. Its totient is φ = 410704.

The previous prime is 821411. The next prime is 821441. The reversal of 821416 is 614128.

It can be written as a sum of positive squares in only one way, i.e., 756900 + 64516 = 870^2 + 254^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (821411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51331 + ... + 51346.

2⁸²¹⁴¹⁶ is an apocalyptic number.

It is an amenable number.

821416 is a deficient number, since it is larger than the sum of its proper divisors (718754).

821416 is a wasteful number, since it uses less digits than its factorization.

821416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102683 (or 102679 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 821416 is about 906.3200317769. The cubic root of 821416 is about 93.6528617562.

The spelling of 821416 in words is "eight hundred twenty-one thousand, four hundred sixteen".