38006641 has 2 divisors, whose sum is σ = 38006642. Its totient is φ = 38006640.

The previous prime is 38006629. The next prime is 38006653. The reversal of 38006641 is 14660083.

It is a balanced prime because it is at equal distance from previous prime (38006629) and next prime (38006653).

It can be written as a sum of positive squares in only one way, i.e., 36240400 + 1766241 = 6020^2 + 1329^2 .

It is a cyclic number.

It is not a de Polignac number, because 38006641 - 2²³ = 29618033 is a prime.

It is a Chen prime.

It is equal to p_2319346 and since 38006641 and 2319346 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (38006041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19003320 + 19003321.

It is an arithmetic number, because the mean of its divisors is an integer number (19003321).

Almost surely, 2^38006641 is an apocalyptic number.

It is an amenable number.

38006641 is a deficient number, since it is larger than the sum of its proper divisors (1).

38006641 is an equidigital number, since it uses as much as digits as its factorization.

38006641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 38006641 is about 6164.9526356656. The cubic root of 38006641 is about 336.2171245204.

The spelling of 38006641 in words is "thirty-eight million, six thousand, six hundred forty-one".