212965137 has 48 divisors (see below), whose sum is σ = 406104192. Its totient is φ = 104117760.

The previous prime is 212965127. The next prime is 212965153. The reversal of 212965137 is 731569212.

It is not a de Polignac number, because 212965137 - 2⁸ = 212964881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212965127) 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 47 ways as a sum of consecutive naturals, for example, 2743 + ... + 20819.

It is an arithmetic number, because the mean of its divisors is an integer number (8460504).

Almost surely, 2^212965137 is an apocalyptic number.

It is an amenable number.

212965137 is a deficient number, since it is larger than the sum of its proper divisors (193139055).

212965137 is a wasteful number, since it uses less digits than its factorization.

212965137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18118 (or 18115 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 212965137 is about 14593.3250837498. The cubic root of 212965137 is about 597.1766772525.

The spelling of 212965137 in words is "two hundred twelve million, nine hundred sixty-five thousand, one hundred thirty-seven".