338641537 has 8 divisors (see below), whose sum is σ = 365251880. Its totient is φ = 312111360.

The previous prime is 338641531. The next prime is 338641549. The reversal of 338641537 is 735146833.

It can be written as a sum of positive squares in 4 ways, for example, as 45684081 + 292957456 = 6759^2 + 17116^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 338641537 - 2¹⁹ = 338117249 is a prime.

It is a super-2 number, since 2×338641537² = 229356181163444738, which contains 22 as substring.

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 338641537.

It is not an unprimeable number, because it can be changed into a prime (338641531) 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, 11112 + ... + 28297.

It is an arithmetic number, because the mean of its divisors is an integer number (45656485).

Almost surely, 2^338641537 is an apocalyptic number.

It is an amenable number.

338641537 is a deficient number, since it is larger than the sum of its proper divisors (26610343).

338641537 is a wasteful number, since it uses less digits than its factorization.

338641537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40083.

The product of its digits is 181440, while the sum is 40.

The square root of 338641537 is about 18402.2155459608. The cubic root of 338641537 is about 697.0224113796.

The spelling of 338641537 in words is "three hundred thirty-eight million, six hundred forty-one thousand, five hundred thirty-seven".