37145 has 16 divisors (see below), whose sum is σ = 51840. Its totient is φ = 25344.

The previous prime is 37139. The next prime is 37159. The reversal of 37145 is 54173.

It is a happy number.

37145 is nontrivially palindromic in base 16.

37145 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a cyclic number.

It is not a de Polignac number, because 37145 - 2¹² = 33049 is a prime.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37145.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1604 + ... + 1626.

It is an arithmetic number, because the mean of its divisors is an integer number (3240).

2³⁷¹⁴⁵ is an apocalyptic number.

It is an amenable number.

37145 is a deficient number, since it is larger than the sum of its proper divisors (14695).

37145 is a wasteful number, since it uses less digits than its factorization.

37145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64.

The product of its digits is 420, while the sum is 20.

The square root of 37145 is about 192.7303816216. The cubic root of 37145 is about 33.3656908019.

The spelling of 37145 in words is "thirty-seven thousand, one hundred forty-five".