38205141 has 16 divisors (see below), whose sum is σ = 54977664. Its totient is φ = 23459904.

The previous prime is 38205121. The next prime is 38205161. The reversal of 38205141 is 14150283.

It is an interprime number because it is at equal distance from previous prime (38205121) and next prime (38205161).

It is not a de Polignac number, because 38205141 - 2⁵ = 38205109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38205121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25680 + ... + 27126.

It is an arithmetic number, because the mean of its divisors is an integer number (3436104).

Almost surely, 2^38205141 is an apocalyptic number.

It is an amenable number.

38205141 is a deficient number, since it is larger than the sum of its proper divisors (16772523).

38205141 is a wasteful number, since it uses less digits than its factorization.

38205141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 38205141 is about 6181.0307392861. The cubic root of 38205141 is about 336.8014368557.

The spelling of 38205141 in words is "thirty-eight million, two hundred five thousand, one hundred forty-one".