45617 has 12 divisors (see below), whose sum is σ = 55860. Its totient is φ = 36960.

The previous prime is 45613. The next prime is 45631. The reversal of 45617 is 71654.

It can be written as a sum of positive squares in 2 ways, for example, as 14641 + 30976 = 121^2 + 176^2 .

It is not a de Polignac number, because 45617 - 2² = 45613 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45592 and 45601.

It is not an unprimeable number, because it can be changed into a prime (45613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1559 + ... + 1587.

It is an arithmetic number, because the mean of its divisors is an integer number (4655).

2⁴⁵⁶¹⁷ is an apocalyptic number.

It is an amenable number.

45617 is a deficient number, since it is larger than the sum of its proper divisors (10243).

45617 is a wasteful number, since it uses less digits than its factorization.

45617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 53 counting only the distinct ones).

The product of its digits is 840, while the sum is 23.

The square root of 45617 is about 213.5813662284. The cubic root of 45617 is about 35.7307588768.

The spelling of 45617 in words is "forty-five thousand, six hundred seventeen".