214716 has 24 divisors (see below), whose sum is σ = 519120. Its totient is φ = 68992.

The previous prime is 214691. The next prime is 214723. The reversal of 214716 is 617412.

214716 = 15² + 16² + ... + 86².

It is a super-2 number, since 2×214716² = 92205921312, which contains 22 as substring.

It is an Ulam number.

It is a plaindrome in base 16.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 214692 and 214701.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 214716.

It is an unprimeable number.

214716 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 7 ways as a sum of consecutive naturals, for example, 40 + ... + 656.

It is an arithmetic number, because the mean of its divisors is an integer number (21630).

2²¹⁴⁷¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259560).

214716 is an abundant number, since it is smaller than the sum of its proper divisors (304404).

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

214716 is a wasteful number, since it uses less digits than its factorization.

214716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 651 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 214716 is about 463.3745784999. The cubic root of 214716 is about 59.8808747539.

The spelling of 214716 in words is "two hundred fourteen thousand, seven hundred sixteen".