214164972 has 120 divisors (see below), whose sum is σ = 647650080. Its totient is φ = 60445440.

The previous prime is 214164953. The next prime is 214165009. The reversal of 214164972 is 279461412.

It is a happy number.

214164972 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 649 + 7 + 2 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 201322 + ... + 202382.

It is an arithmetic number, because the mean of its divisors is an integer number (5397084).

Almost surely, 2^214164972 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 214164972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323825040).

214164972 is an abundant number, since it is smaller than the sum of its proper divisors (433485108).

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

214164972 is a wasteful number, since it uses less digits than its factorization.

214164972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1162 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 214164972 is about 14634.3763789237. The cubic root of 214164972 is about 598.2960655933.

The spelling of 214164972 in words is "two hundred fourteen million, one hundred sixty-four thousand, nine hundred seventy-two".