212317137 has 24 divisors (see below), whose sum is σ = 316229160. Its totient is φ = 137168640.

The previous prime is 212317129. The next prime is 212317139. The reversal of 212317137 is 731713212.

212317137 is a `hidden beast` number, since 212 + 317 + 137 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35533521 + 176783616 = 5961^2 + 13296^2 .

It is not a de Polignac number, because 212317137 - 2³ = 212317129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212317137.

It is not an unprimeable number, because it can be changed into a prime (212317139) 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, 92439 + ... + 94707.

It is an arithmetic number, because the mean of its divisors is an integer number (13176215).

Almost surely, 2^212317137 is an apocalyptic number.

It is an amenable number.

212317137 is a deficient number, since it is larger than the sum of its proper divisors (103912023).

212317137 is a wasteful number, since it uses less digits than its factorization.

212317137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2590 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 212317137 is about 14571.1062380315. The cubic root of 212317137 is about 596.5703751411.

The spelling of 212317137 in words is "two hundred twelve million, three hundred seventeen thousand, one hundred thirty-seven".