32264 has 16 divisors (see below), whose sum is σ = 62700. Its totient is φ = 15552.

The previous prime is 32261. The next prime is 32297. The reversal of 32264 is 46223.

It can be written as a sum of positive squares in 2 ways, for example, as 28900 + 3364 = 170^2 + 58^2 .

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (32261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 242 + ... + 350.

2³²²⁶⁴ is an apocalyptic number.

It is an amenable number.

32264 is a deficient number, since it is larger than the sum of its proper divisors (30436).

32264 is a wasteful number, since it uses less digits than its factorization.

32264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 148 counting only the distinct ones).

The product of its digits is 288, while the sum is 17.

The square root of 32264 is about 179.6218249545. The cubic root of 32264 is about 31.8350890972.

Adding to 32264 its reverse (46223), we get a palindrome (78487).

It can be divided in two parts, 32 and 264, that multiplied together give a palindrome (8448).

The spelling of 32264 in words is "thirty-two thousand, two hundred sixty-four".