214788 has 24 divisors (see below), whose sum is σ = 572992. Its totient is φ = 61344.

The previous prime is 214787. The next prime is 214789. The reversal of 214788 is 887412.

214788 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214787) and next prime (214789).

It is a super-2 number, since 2×214788² = 92267769888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214783) 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 in 7 ways as a sum of consecutive naturals, for example, 1195 + ... + 1362.

2²¹⁴⁷⁸⁸ is an apocalyptic number.

214788 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

214788 is an abundant number, since it is smaller than the sum of its proper divisors (358204).

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

214788 is a wasteful number, since it uses less digits than its factorization.

214788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2569 counting only the distinct ones).

The product of its digits is 3584, while the sum is 30.

The square root of 214788 is about 463.4522629139. The cubic root of 214788 is about 59.8875672239.

The spelling of 214788 in words is "two hundred fourteen thousand, seven hundred eighty-eight".