45314 has 8 divisors (see below), whose sum is σ = 68880. Its totient is φ = 22356.

The previous prime is 45307. The next prime is 45317. The reversal of 45314 is 41354.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a junction number, because it is equal to n+sod(n) for n = 45292 and 45301.

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, 197 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (8610).

2⁴⁵³¹⁴ is an apocalyptic number.

45314 is a deficient number, since it is larger than the sum of its proper divisors (23566).

45314 is a wasteful number, since it uses less digits than its factorization.

45314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304.

The product of its digits is 240, while the sum is 17.

The square root of 45314 is about 212.8708528662. The cubic root of 45314 is about 35.6514720654.

Adding to 45314 its product of digits (240), we get a palindrome (45554).

Adding to 45314 its reverse (41354), we get a palindrome (86668).

The spelling of 45314 in words is "forty-five thousand, three hundred fourteen".