45088 has 12 divisors (see below), whose sum is σ = 88830. Its totient is φ = 22528.

The previous prime is 45083. The next prime is 45119. The reversal of 45088 is 88054.

45088 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 44944 + 144 = 212^2 + 12^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 673 + ... + 736.

2⁴⁵⁰⁸⁸ is an apocalyptic number.

45088 is the 114-th centered heptagonal number.

It is an amenable number.

45088 is a deficient number, since it is larger than the sum of its proper divisors (43742).

45088 is a wasteful number, since it uses less digits than its factorization.

45088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 45088 is about 212.3393510398. The cubic root of 45088 is about 35.5921036225.

The spelling of 45088 in words is "forty-five thousand, eighty-eight".