38133901 has 8 divisors (see below), whose sum is σ = 41492024. Its totient is φ = 34836480.

The previous prime is 38133899. The next prime is 38133911. The reversal of 38133901 is 10933183.

It can be written as a sum of positive squares in 4 ways, for example, as 15625 + 38118276 = 125^2 + 6174^2 .

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

It is a 6-Lehmer number, since φ(38133901) divides (38133901-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 38133901 - 2¹ = 38133899 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38133901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38133911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13860 + ... + 16381.

It is an arithmetic number, because the mean of its divisors is an integer number (5186503).

Almost surely, 2^38133901 is an apocalyptic number.

It is an amenable number.

38133901 is a deficient number, since it is larger than the sum of its proper divisors (3358123).

38133901 is a wasteful number, since it uses less digits than its factorization.

38133901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30351.

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 38133901 is about 6175.2652574606. The cubic root of 38133901 is about 336.5919653669.

It can be divided in two parts, 3 and 8133901, that added together give a square (8133904 = 2852²).

The spelling of 38133901 in words is "thirty-eight million, one hundred thirty-three thousand, nine hundred one".