8264 has 8 divisors (see below), whose sum is σ = 15510. Its totient is φ = 4128.

The previous prime is 8263. The next prime is 8269. The reversal of 8264 is 4628.

It can be written as a sum of positive squares in only one way, i.e., 4900 + 3364 = 70^2 + 58^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8264.

It is not an unprimeable number, because it can be changed into a prime (8263) by changing a digit.

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, 509 + ... + 524.

2⁸²⁶⁴ is an apocalyptic number.

It is an amenable number.

8264 is a deficient number, since it is larger than the sum of its proper divisors (7246).

8264 is a wasteful number, since it uses less digits than its factorization.

8264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1035 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 8264 is about 90.9065454189. The cubic root of 8264 is about 20.2176234136.

It can be divided in two parts, 8 and 264, that multiplied together give a palindrome (2112).

The spelling of 8264 in words is "eight thousand, two hundred sixty-four".