38144961 has 12 divisors (see below), whose sum is σ = 55159780. Its totient is φ = 25401600.

The previous prime is 38144929. The next prime is 38144987. The reversal of 38144961 is 16944183.

It can be written as a sum of positive squares in 2 ways, for example, as 1166400 + 36978561 = 1080^2 + 6081^2 .

It is not a de Polignac number, because 38144961 - 2⁵ = 38144929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38144921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9045 + ... + 12573.

Almost surely, 2^38144961 is an apocalyptic number.

It is an amenable number.

38144961 is a deficient number, since it is larger than the sum of its proper divisors (17014819).

38144961 is a wasteful number, since it uses less digits than its factorization.

38144961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4736 (or 4733 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 38144961 is about 6176.1607006295. The cubic root of 38144961 is about 336.6245028834.

The spelling of 38144961 in words is "thirty-eight million, one hundred forty-four thousand, nine hundred sixty-one".