37541 has 8 divisors (see below), whose sum is σ = 44544. Its totient is φ = 30960.

The previous prime is 37537. The next prime is 37547. The reversal of 37541 is 14573.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 37541 - 2² = 37537 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 8.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37541.

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, 131 + ... + 303.

It is an arithmetic number, because the mean of its divisors is an integer number (5568).

2³⁷⁵⁴¹ is an apocalyptic number.

37541 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

37541 is a deficient number, since it is larger than the sum of its proper divisors (7003).

37541 is a wasteful number, since it uses less digits than its factorization.

37541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211.

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

The square root of 37541 is about 193.7549999355. The cubic root of 37541 is about 33.4838416171.

The spelling of 37541 in words is "thirty-seven thousand, five hundred forty-one".