83264 has 14 divisors (see below), whose sum is σ = 165354. Its totient is φ = 41600.

The previous prime is 83257. The next prime is 83267. The reversal of 83264 is 46238.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 43264 + 40000 = 208^2 + 200^2 .

It is a fibodiv number, since the Fibonacci-like sequence with seeds 832 and 64 contains 83264 itself.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 587 + ... + 714.

It is an arithmetic number, because the mean of its divisors is an integer number (11811).

2⁸³²⁶⁴ is an apocalyptic number.

It is an amenable number.

83264 is a deficient number, since it is larger than the sum of its proper divisors (82090).

83264 is a wasteful number, since it uses less digits than its factorization.

83264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1303 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 83264 is about 288.5550207499. Note that the first 3 decimals coincide. The cubic root of 83264 is about 43.6669062266. Note that the first 3 decimals are identical.

It can be divided in two parts, 83 and 264, that multiplied together give a palindrome (21912).

The spelling of 83264 in words is "eighty-three thousand, two hundred sixty-four".