1538 has 4 divisors (see below), whose sum is σ = 2310. Its totient is φ = 768.

The previous prime is 1531. The next prime is 1543. The reversal of 1538 is 8351.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 8351 = 7 ⋅1193.

It can be written as a sum of positive squares in only one way, i.e., 1369 + 169 = 37^2 + 13^2 .

It is an Ulam number.

It is a plaindrome in base 11 and base 14.

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 1538.

It is not an unprimeable number, because it can be changed into a prime (1531) by changing a digit.

1538 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 383 + ... + 386.

1538 is a deficient number, since it is larger than the sum of its proper divisors (772).

1538 is an equidigital number, since it uses as much as digits as its factorization.

1538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771.

The product of its digits is 120, while the sum is 17.

The square root of 1538 is about 39.2173431023. The cubic root of 1538 is about 11.5430022015.

Subtracting from 1538 its sum of digits (17), we obtain a square (1521 = 39^{2}).

Adding to 1538 its reverse (8351), we get a palindrome (9889).

It can be divided in two parts, 153 and 8, that added together give a palindrome (161).

The spelling of 1538 in words is "one thousand, five hundred thirty-eight".

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