212072167 has 16 divisors (see below), whose sum is σ = 235388160. Its totient is φ = 190156032.

The previous prime is 212072153. The next prime is 212072171. The reversal of 212072167 is 761270212.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212072167 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212072117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39888 + ... + 44890.

It is an arithmetic number, because the mean of its divisors is an integer number (14711760).

Almost surely, 2^212072167 is an apocalyptic number.

212072167 is a deficient number, since it is larger than the sum of its proper divisors (23315993).

212072167 is a wasteful number, since it uses less digits than its factorization.

212072167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5142.

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 212072167 is about 14562.6977926482. The cubic root of 212072167 is about 596.3408472931.

The spelling of 212072167 in words is "two hundred twelve million, seventy-two thousand, one hundred sixty-seven".