201381084 has 72 divisors (see below), whose sum is σ = 539779968. Its totient is φ = 63192960.

The previous prime is 201381073. The next prime is 201381091. The reversal of 201381084 is 480183102.

201381084 is a `hidden beast` number, since 201 + 381 + 0 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38854 + ... + 43730.

It is an arithmetic number, because the mean of its divisors is an integer number (7496944).

Almost surely, 2^201381084 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 201381084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269889984).

201381084 is an abundant number, since it is smaller than the sum of its proper divisors (338398884).

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

201381084 is a wasteful number, since it uses less digits than its factorization.

201381084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4955 (or 4950 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 201381084 is about 14190.8803109603. The cubic root of 201381084 is about 586.1465657068.

The spelling of 201381084 in words is "two hundred one million, three hundred eighty-one thousand, eighty-four".