45905 has 4 divisors (see below), whose sum is σ = 55092. Its totient is φ = 36720.

The previous prime is 45893. The next prime is 45943. The reversal of 45905 is 50954.

45905 = T₁₃₃ + T₁₃₄ + ... + T₁₃₇.

45905 = 151² + 152².

45905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 23104 + 22801 = 152^2 + 151^2 .

It is not a de Polignac number, because 45905 - 2⁶ = 45841 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4586 + ... + 4595.

It is an arithmetic number, because the mean of its divisors is an integer number (13773).

2⁴⁵⁹⁰⁵ is an apocalyptic number.

45905 is the 152-nd centered square number.

It is an amenable number.

45905 is a deficient number, since it is larger than the sum of its proper divisors (9187).

45905 is an equidigital number, since it uses as much as digits as its factorization.

45905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9186.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 45905 is about 214.2545215392. The cubic root of 45905 is about 35.8057958012.

The spelling of 45905 in words is "forty-five thousand, nine hundred five".