37545 has 8 divisors (see below), whose sum is σ = 60096. Its totient is φ = 20016.

The previous prime is 37537. The next prime is 37547. The reversal of 37545 is 54573.

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

It is not a de Polignac number, because 37545 - 2³ = 37537 is a prime.

It is a super-3 number, since 3×37545³ = 158773339960875, which contains 333 as substring.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37545.

It is not an unprimeable number, because it can be changed into a prime (37547) by changing a digit.

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 in 7 ways as a sum of consecutive naturals, for example, 1237 + ... + 1266.

It is an arithmetic number, because the mean of its divisors is an integer number (7512).

2³⁷⁵⁴⁵ is an apocalyptic number.

It is an amenable number.

37545 is a deficient number, since it is larger than the sum of its proper divisors (22551).

37545 is a wasteful number, since it uses less digits than its factorization.

37545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511.

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

The square root of 37545 is about 193.7653219748. The cubic root of 37545 is about 33.4850308112.

The spelling of 37545 in words is "thirty-seven thousand, five hundred forty-five".