45512 has 8 divisors (see below), whose sum is σ = 85350. Its totient is φ = 22752.

The previous prime is 45503. The next prime is 45523. The reversal of 45512 is 21554.

45512 = 4² + 5² + ... + 51².

It can be written as a sum of positive squares in only one way, i.e., 27556 + 17956 = 166^2 + 134^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a nialpdrome in base 15.

It is an unprimeable number.

45512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2837 + ... + 2852.

2⁴⁵⁵¹² is an apocalyptic number.

It is an amenable number.

45512 is a deficient number, since it is larger than the sum of its proper divisors (39838).

45512 is a wasteful number, since it uses less digits than its factorization.

45512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5695 (or 5691 counting only the distinct ones).

The product of its digits is 200, while the sum is 17.

The square root of 45512 is about 213.3354166565. The cubic root of 45512 is about 35.7033231115.

It can be divided in two parts, 455 and 12, that multiplied together give a triangular number (5460 = T₁₀₄).

The spelling of 45512 in words is "forty-five thousand, five hundred twelve".