45916167 has 16 divisors (see below), whose sum is σ = 70716672. Its totient is φ = 26190720.

The previous prime is 45916159. The next prime is 45916237. The reversal of 45916167 is 76161954.

It is not a de Polignac number, because 45916167 - 2³ = 45916159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45916567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40363 + ... + 41484.

It is an arithmetic number, because the mean of its divisors is an integer number (4419792).

Almost surely, 2^45916167 is an apocalyptic number.

45916167 is a deficient number, since it is larger than the sum of its proper divisors (24800505).

45916167 is a wasteful number, since it uses less digits than its factorization.

45916167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81878.

The product of its digits is 45360, while the sum is 39.

The square root of 45916167 is about 6776.1469139918. The cubic root of 45916167 is about 358.0869897739.

The spelling of 45916167 in words is "forty-five million, nine hundred sixteen thousand, one hundred sixty-seven".