45315 has 24 divisors (see below), whose sum is σ = 84240. Its totient is φ = 22464.

The previous prime is 45307. The next prime is 45317. The reversal of 45315 is 51354.

It is not a de Polignac number, because 45315 - 2³ = 45307 is a prime.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45315.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 829 + ... + 881.

It is an arithmetic number, because the mean of its divisors is an integer number (3510).

2⁴⁵³¹⁵ is an apocalyptic number.

45315 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45315 is a deficient number, since it is larger than the sum of its proper divisors (38925).

45315 is a wasteful number, since it uses less digits than its factorization.

45315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 80 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 45315 is about 212.8732016953. The cubic root of 45315 is about 35.6517343185.

Adding to 45315 its reverse (51354), we get a palindrome (96669).

The spelling of 45315 in words is "forty-five thousand, three hundred fifteen".