45348 has 12 divisors (see below), whose sum is σ = 105840. Its totient is φ = 15112.

The previous prime is 45343. The next prime is 45361. The reversal of 45348 is 84354.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×45348² = 4112882208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45341) by changing a digit.

45348 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1878 + ... + 1901.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2⁴⁵³⁴⁸ is an apocalyptic number.

It is an amenable number.

45348 is an abundant number, since it is smaller than the sum of its proper divisors (60492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52920).

45348 is a wasteful number, since it uses less digits than its factorization.

45348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786 (or 3784 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 45348 is about 212.9506985196. The cubic root of 45348 is about 35.6603865070.

It can be divided in two parts, 45 and 348, that added together give a palindrome (393).

The spelling of 45348 in words is "forty-five thousand, three hundred forty-eight".