214164132 has 96 divisors (see below), whose sum is σ = 641851392. Its totient is φ = 54020736.

The previous prime is 214164131. The next prime is 214164133. The reversal of 214164132 is 231461412.

It is an interprime number because it is at equal distance from previous prime (214164131) and next prime (214164133).

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 (214164131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20853 + ... + 29379.

It is an arithmetic number, because the mean of its divisors is an integer number (6685952).

Almost surely, 2^214164132 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 214164132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320925696).

214164132 is an abundant number, since it is smaller than the sum of its proper divisors (427687260).

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

214164132 is a wasteful number, since it uses less digits than its factorization.

214164132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8577 (or 8575 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 214164132 is about 14634.3476793467. The cubic root of 214164132 is about 598.2952833780.

The spelling of 214164132 in words is "two hundred fourteen million, one hundred sixty-four thousand, one hundred thirty-two".