1539 has 10 divisors (see below), whose sum is σ = 2420. Its totient is φ = 972.

The previous prime is 1531. The next prime is 1543. The reversal of 1539 is 9351.

1539 = T₂ + T₃ + ... + T₂₀.

1539 is nontrivially palindromic in base 2 and base 8.

It is not a de Polignac number, because 1539 - 2³ = 1531 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11 and base 14.

It is a nialpdrome in base 9 and base 12.

It is a zygodrome in base 2.

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

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 72 + ... + 90.

It is an arithmetic number, because the mean of its divisors is an integer number (242).

2¹⁵³⁹ is an apocalyptic number.

1539 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1539 is a deficient number, since it is larger than the sum of its proper divisors (881).

1539 is an equidigital number, since it uses as much as digits as its factorization.

1539 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 22 counting only the distinct ones).

The product of its digits is 135, while the sum is 18.

The square root of 1539 is about 39.2300904919. The cubic root of 1539 is about 11.5455033938.

Subtracting from 1539 its sum of digits (18), we obtain a square (1521 = 39²).

It can be divided in two parts, 15 and 39, that multiplied together give a palindrome (585).

The spelling of 1539 in words is "one thousand, five hundred thirty-nine".