1505 has 8 divisors (see below), whose sum is σ = 2112. Its totient is φ = 1008.

The previous prime is 1499. The next prime is 1511. The reversal of 1505 is 5051.

Adding to 1505 its reverse (5051), we get a palindrome (6556).

1505 = T_{6} + T_{7} + ... +
T_{20}.

1505 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (1499) and next prime (1511).

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

It is not a de Polignac number, because 1505 - 2^{4} = 1489 is a prime.

It is a Duffinian number.

1505 is an undulating number in base 14.

It is a Curzon number.

It is a plaindrome in base 11.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14 + ... + 56.

It is an arithmetic number, because the mean of its divisors is an integer number (264).

It is an amenable number.

1505 is a deficient number, since it is larger than the sum of its proper divisors (607).

1505 is an equidigital number, since it uses as much as digits as its factorization.

1505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55.

The product of its (nonzero) digits is 25, while the sum is 11.

The square root of 1505 is about 38.7943294825. The cubic root of 1505 is about 11.4598473665.

The spelling of 1505 in words is "one thousand, five hundred five".

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