45537 has 8 divisors (see below), whose sum is σ = 62304. Its totient is φ = 29568.

The previous prime is 45533. The next prime is 45541. The reversal of 45537 is 73554.

45537 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45533) and next prime (45541).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 45537 - 2² = 45533 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45537.

It is not an unprimeable number, because it can be changed into a prime (45533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48 + ... + 305.

It is an arithmetic number, because the mean of its divisors is an integer number (7788).

2⁴⁵⁵³⁷ is an apocalyptic number.

It is an amenable number.

45537 is a deficient number, since it is larger than the sum of its proper divisors (16767).

45537 is a wasteful number, since it uses less digits than its factorization.

45537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399.

The product of its digits is 2100, while the sum is 24.

The square root of 45537 is about 213.3940017901. The cubic root of 45537 is about 35.7098592609.

It can be divided in two parts, 4553 and 7, that added together give a triangular number (4560 = T₉₅).

The spelling of 45537 in words is "forty-five thousand, five hundred thirty-seven".