214916 has 12 divisors (see below), whose sum is σ = 405132. Its totient is φ = 99168.

The previous prime is 214913. The next prime is 214939. The reversal of 214916 is 619412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 92416 + 122500 = 304^2 + 350^2 .

It is a junction number, because it is equal to n+sod(n) for n = 214891 and 214900.

It is not an unprimeable number, because it can be changed into a prime (214913) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2015 + ... + 2118.

It is an arithmetic number, because the mean of its divisors is an integer number (33761).

2²¹⁴⁹¹⁶ is an apocalyptic number.

214916 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

214916 is a deficient number, since it is larger than the sum of its proper divisors (190216).

214916 is a wasteful number, since it uses less digits than its factorization.

214916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4150 (or 4148 counting only the distinct ones).

The product of its digits is 432, while the sum is 23.

The square root of 214916 is about 463.5903363963. The cubic root of 214916 is about 59.8994612564.

Subtracting 214916 from its reverse (619412), we obtain a square (404496 = 636²).

The spelling of 214916 in words is "two hundred fourteen thousand, nine hundred sixteen".