214153956 has 63 divisors (see below), whose sum is σ = 563978163. Its totient is φ = 71121240.

The previous prime is 214153939. The next prime is 214153957. The reversal of 214153956 is 659351412.

The square root of 214153956 is 14634.

It is a perfect power (a square), and thus also a powerful number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 214153956.

It is not an unprimeable number, because it can be changed into a prime (214153957) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 790101 + ... + 790371.

Almost surely, 2^214153956 is an apocalyptic number.

214153956 is the 14634-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214153956

214153956 is an abundant number, since it is smaller than the sum of its proper divisors (349824207).

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

214153956 is an frugal number, since it uses more digits than its factorization.

214153956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 276 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The cubic root of 214153956 is about 598.2858072359.

Multiplying 214153956 by its sum of digits (36), we get a square (7709542416 = 87804²).

214153956 divided by its sum of digits (36) gives a square (5948721 = 2439²).

Multiplying 214153956 by its product of digits (32400), we get a square (6938588174400 = 2634120²).

The spelling of 214153956 in words is "two hundred fourteen million, one hundred fifty-three thousand, nine hundred fifty-six".