45313 has 4 divisors (see below), whose sum is σ = 45828. Its totient is φ = 44800.

The previous prime is 45307. The next prime is 45317. The reversal of 45313 is 31354.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 23409 + 21904 = 153^2 + 148^2 .

It is a cyclic number.

It is not a de Polignac number, because 45313 - 2⁵ = 45281 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88 + ... + 313.

It is an arithmetic number, because the mean of its divisors is an integer number (11457).

It is a Proth number, since it is equal to 177 ⋅ 2⁸ + 1 and 177 < 2⁸.

2⁴⁵³¹³ is an apocalyptic number.

It is an amenable number.

45313 is a deficient number, since it is larger than the sum of its proper divisors (515).

45313 is a wasteful number, since it uses less digits than its factorization.

45313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514.

The product of its digits is 180, while the sum is 16.

The square root of 45313 is about 212.8685040113. The cubic root of 45313 is about 35.6512098085.

Adding to 45313 its reverse (31354), we get a palindrome (76667).

The spelling of 45313 in words is "forty-five thousand, three hundred thirteen".