45164001 has 16 divisors (see below), whose sum is σ = 61891200. Its totient is φ = 29278080.

The previous prime is 45163997. The next prime is 45164011. The reversal of 45164001 is 10046154.

It is not a de Polignac number, because 45164001 - 2² = 45163997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45164011) 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, 73371 + ... + 73983.

It is an arithmetic number, because the mean of its divisors is an integer number (3868200).

Almost surely, 2^45164001 is an apocalyptic number.

45164001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

45164001 is a deficient number, since it is larger than the sum of its proper divisors (16727199).

45164001 is a wasteful number, since it uses less digits than its factorization.

45164001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 45164001 is about 6720.4167281501. The cubic root of 45164001 is about 356.1209058882.

The spelling of 45164001 in words is "forty-five million, one hundred sixty-four thousand, one".