214161984 has 84 divisors (see below), whose sum is σ = 635073660. Its totient is φ = 68920320.

The previous prime is 214161979. The next prime is 214161989. The reversal of 214161984 is 489161412.

It is an interprime number because it is at equal distance from previous prime (214161979) and next prime (214161989).

It can be written as a sum of positive squares in 2 ways, for example, as 53582400 + 160579584 = 7320^2 + 12672^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (214161989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10294 + ... + 23114.

Almost surely, 2^214161984 is an apocalyptic number.

214161984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214161984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317536830).

214161984 is an abundant number, since it is smaller than the sum of its proper divisors (420911676).

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

214161984 is a wasteful number, since it uses less digits than its factorization.

214161984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12868 (or 12855 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 214161984 is about 14634.2742901724. The cubic root of 214161984 is about 598.2932831324.

The spelling of 214161984 in words is "two hundred fourteen million, one hundred sixty-one thousand, nine hundred eighty-four".