45001 has 4 divisors (see below), whose sum is σ = 49104. Its totient is φ = 40900.

The previous prime is 44987. The next prime is 45007. The reversal of 45001 is 10054.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 45001 - 2¹¹ = 42953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2035 + ... + 2056.

It is an arithmetic number, because the mean of its divisors is an integer number (12276).

2⁴⁵⁰⁰¹ is an apocalyptic number.

It is an amenable number.

45001 is a deficient number, since it is larger than the sum of its proper divisors (4103).

45001 is a wasteful number, since it uses less digits than its factorization.

45001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4102.

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 45001 is about 212.1343913655. The cubic root of 45001 is about 35.5691965165.

Adding to 45001 its reverse (10054), we get a palindrome (55055).

It can be divided in two parts, 4 and 5001, that added together give a palindrome (5005).

The spelling of 45001 in words is "forty-five thousand, one".