36121167 has 16 divisors (see below), whose sum is σ = 54017280. Its totient is φ = 23853816.

The previous prime is 36121133. The next prime is 36121171. The reversal of 36121167 is 76112163.

36121167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36121167 - 2⁶ = 36121103 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 36121167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36121117) 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 15 ways as a sum of consecutive naturals, for example, 3363 + ... + 9140.

It is an arithmetic number, because the mean of its divisors is an integer number (3376080).

Almost surely, 2^36121167 is an apocalyptic number.

36121167 is a deficient number, since it is larger than the sum of its proper divisors (17896113).

36121167 is a wasteful number, since it uses less digits than its factorization.

36121167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12619 (or 12613 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 36121167 is about 6010.0887680632. The cubic root of 36121167 is about 330.5627587735.

It can be divided in two parts, 361 and 21167, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 36121167 in words is "thirty-six million, one hundred twenty-one thousand, one hundred sixty-seven".