305214 has 48 divisors (see below), whose sum is σ = 772992. Its totient is φ = 78624.

The previous prime is 305209. The next prime is 305219. The reversal of 305214 is 412503.

305214 = T₉₇ + T₉₈ + ... + T₁₃₉.

It is an interprime number because it is at equal distance from previous prime (305209) and next prime (305219).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 305193 and 305202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305219) 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, 7077 + ... + 7119.

It is an arithmetic number, because the mean of its divisors is an integer number (16104).

2³⁰⁵²¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386496).

305214 is an abundant number, since it is smaller than the sum of its proper divisors (467778).

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

305214 is a wasteful number, since it uses less digits than its factorization.

305214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 305214 is about 552.4617633828. The cubic root of 305214 is about 67.3288944780.

Adding to 305214 its reverse (412503), we get a palindrome (717717).

The spelling of 305214 in words is "three hundred five thousand, two hundred fourteen".