3837541 has 4 divisors (see below), whose sum is σ = 3969900. Its totient is φ = 3705184.

The previous prime is 3837511. The next prime is 3837553. The reversal of 3837541 is 1457383.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 1457383 = 163 ⋅8941.

It can be written as a sum of positive squares in 2 ways, for example, as 1572516 + 2265025 = 1254^2 + 1505^2 .

It is a cyclic number.

It is not a de Polignac number, because 3837541 - 2¹⁹ = 3313253 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a d-powerful number, because it can be written as 3 + 8⁷ + 3¹³ + 7⁴ + 5⁷ + 4⁸ + 1 .

It is a Duffinian number.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3837511) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66136 + ... + 66193.

It is an arithmetic number, because the mean of its divisors is an integer number (992475).

Almost surely, 2^3837541 is an apocalyptic number.

It is an amenable number.

3837541 is a deficient number, since it is larger than the sum of its proper divisors (132359).

3837541 is a wasteful number, since it uses less digits than its factorization.

3837541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132358.

The product of its digits is 10080, while the sum is 31.

The square root of 3837541 is about 1958.9642671575. The cubic root of 3837541 is about 156.5612726081.

It can be divided in two parts, 38375 and 41, that added together give a 4-th power (38416 = 14⁴).

The spelling of 3837541 in words is "three million, eight hundred thirty-seven thousand, five hundred forty-one".