12820167 has 32 divisors (see below), whose sum is σ = 20045760. Its totient is φ = 8087040.

The previous prime is 12820151. The next prime is 12820201. The reversal of 12820167 is 76102821.

It is not a de Polignac number, because 12820167 - 2⁴ = 12820151 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12820167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12820127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40803 + ... + 41115.

It is an arithmetic number, because the mean of its divisors is an integer number (626430).

Almost surely, 2^12820167 is an apocalyptic number.

12820167 is a deficient number, since it is larger than the sum of its proper divisors (7225593).

12820167 is a wasteful number, since it uses less digits than its factorization.

12820167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 12820167 is about 3580.5260786650. The cubic root of 12820167 is about 234.0442059810.

Adding to 12820167 its reverse (76102821), we get a palindrome (88922988).

The spelling of 12820167 in words is "twelve million, eight hundred twenty thousand, one hundred sixty-seven".