45819 has 8 divisors (see below), whose sum is σ = 67920. Its totient is φ = 30528.

The previous prime is 45817. The next prime is 45821. The reversal of 45819 is 91854.

It is an interprime number because it is at equal distance from previous prime (45817) and next prime (45821).

It is not a de Polignac number, because 45819 - 2¹ = 45817 is a prime.

It is a super-2 number, since 2×45819² = 4198761522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1697 = 45819 / (4 + 5 + 8 + 1 + 9).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 45792 and 45801.

It is not an unprimeable number, because it can be changed into a prime (45817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 822 + ... + 875.

It is an arithmetic number, because the mean of its divisors is an integer number (8490).

2⁴⁵⁸¹⁹ is an apocalyptic number.

45819 is a deficient number, since it is larger than the sum of its proper divisors (22101).

45819 is a wasteful number, since it uses less digits than its factorization.

45819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1700 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 45819 is about 214.0537315722. The cubic root of 45819 is about 35.7834218885.

The spelling of 45819 in words is "forty-five thousand, eight hundred nineteen".