45516 has 12 divisors (see below), whose sum is σ = 106232. Its totient is φ = 15168.

The previous prime is 45503. The next prime is 45523. The reversal of 45516 is 61554.

It is a happy number.

45516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 45492 and 45501.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1885 + ... + 1908.

2⁴⁵⁵¹⁶ is an apocalyptic number.

It is an amenable number.

45516 is an abundant number, since it is smaller than the sum of its proper divisors (60716).

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 (53116).

45516 is a wasteful number, since it uses less digits than its factorization.

45516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3800 (or 3798 counting only the distinct ones).

The product of its digits is 600, while the sum is 21.

The square root of 45516 is about 213.3447913590. The cubic root of 45516 is about 35.7043690563.

It can be divided in two parts, 45 and 516, that multiplied together give a triangular number (23220 = T₂₁₅).

The spelling of 45516 in words is "forty-five thousand, five hundred sixteen".