201387627 has 60 divisors (see below), whose sum is σ = 365526480. Its totient is φ = 108221184.

The previous prime is 201387601. The next prime is 201387647. The reversal of 201387627 is 726783102.

201387627 is a `hidden beast` number, since 20 + 1 + 3 + 8 + 7 + 627 = 666.

It is not a de Polignac number, because 201387627 - 2¹⁴ = 201371243 is a prime.

It is a super-2 number, since 2×201387627² = 81113952617382258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201387591 and 201387600.

It is not an unprimeable number, because it can be changed into a prime (201387647) 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 59 ways as a sum of consecutive naturals, for example, 163249 + ... + 164477.

It is an arithmetic number, because the mean of its divisors is an integer number (6092108).

Almost surely, 2^201387627 is an apocalyptic number.

201387627 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

201387627 is a deficient number, since it is larger than the sum of its proper divisors (164138853).

201387627 is a wasteful number, since it uses less digits than its factorization.

201387627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 201387627 is about 14191.1108444688. The cubic root of 201387627 is about 586.1529137301.

The spelling of 201387627 in words is "two hundred one million, three hundred eighty-seven thousand, six hundred twenty-seven".