321214 has 16 divisors (see below), whose sum is σ = 518400. Its totient is φ = 148824.

The previous prime is 321203. The next prime is 321221. The reversal of 321214 is 412123.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 321194 and 321203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2949 + ... + 3055.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2³²¹²¹⁴ is an apocalyptic number.

321214 is a deficient number, since it is larger than the sum of its proper divisors (197186).

321214 is a wasteful number, since it uses less digits than its factorization.

321214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207.

The product of its digits is 48, while the sum is 13.

The square root of 321214 is about 566.7574437094. The cubic root of 321214 is about 68.4854249986.

Subtracting from 321214 its sum of digits (13), we obtain a triangular number (321201 = T₈₀₁).

Adding to 321214 its reverse (412123), we get a palindrome (733337).

Subtracting 321214 from its reverse (412123), we obtain a palindrome (90909).

It can be divided in two parts, 321 and 214, that added together give a palindrome (535).

The spelling of 321214 in words is "three hundred twenty-one thousand, two hundred fourteen", and thus it is an iban number.