212538627 has 24 divisors (see below), whose sum is σ = 366282000. Its totient is φ = 121449888.

The previous prime is 212538611. The next prime is 212538647. The reversal of 212538627 is 726835212.

212538627 is a `hidden beast` number, since 2 + 1 + 25 + 3 + 8 + 627 = 666.

It is not a de Polignac number, because 212538627 - 2⁴ = 212538611 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 212538591 and 212538600.

It is not an unprimeable number, because it can be changed into a prime (212538647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79002 + ... + 81647.

It is an arithmetic number, because the mean of its divisors is an integer number (15261750).

Almost surely, 2^212538627 is an apocalyptic number.

212538627 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

212538627 is a deficient number, since it is larger than the sum of its proper divisors (153743373).

212538627 is a wasteful number, since it uses less digits than its factorization.

212538627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160672 (or 160659 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 212538627 is about 14578.7045720805. The cubic root of 212538627 is about 596.7777511654. Note that the first 4 decimals are identical.

The spelling of 212538627 in words is "two hundred twelve million, five hundred thirty-eight thousand, six hundred twenty-seven".