1527 has 4 divisors (see below), whose sum is σ = 2040. Its totient is φ = 1016.

The previous prime is 1523. The next prime is 1531. The reversal of 1527 is 7251.

Added to its reverse (7251) it gives a triangular number (8778 = T₁₃₂).

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 7251 = 3 ⋅2417.

It is an interprime number because it is at equal distance from previous prime (1523) and next prime (1531).

It is a cyclic number.

It is not a de Polignac number, because 1527 - 2² = 1523 is a prime.

It is a D-number.

1527 is a modest number, since divided by 27 gives 15 as remainder.

It is a plaindrome in base 11 and base 15.

It is a nialpdrome in base 7 and base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 1527.

It is not an unprimeable number, because it can be changed into a prime (1523) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252 + ... + 257.

It is an arithmetic number, because the mean of its divisors is an integer number (510).

2¹⁵²⁷ is an apocalyptic number.

1527 is a deficient number, since it is larger than the sum of its proper divisors (513).

1527 is an equidigital number, since it uses as much as digits as its factorization.

1527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512.

The product of its digits is 70, while the sum is 15.

The square root of 1527 is about 39.0768473652. The cubic root of 1527 is about 11.5154172551.

Adding to 1527 its reverse (7251), we get a palindrome (8778).

It can be divided in two parts, 1 and 527, that added together give a triangular number (528 = T₃₂).

The spelling of 1527 in words is "one thousand, five hundred twenty-seven".