41264 has 10 divisors (see below), whose sum is σ = 79980. Its totient is φ = 20624.

The previous prime is 41263. The next prime is 41269. The reversal of 41264 is 46214.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41264.

It is not an unprimeable number, because it can be changed into a prime (41263) 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, 1274 + ... + 1305.

It is an arithmetic number, because the mean of its divisors is an integer number (7998).

2⁴¹²⁶⁴ is an apocalyptic number.

It is an amenable number.

41264 is a deficient number, since it is larger than the sum of its proper divisors (38716).

41264 is a wasteful number, since it uses less digits than its factorization.

41264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2581 counting only the distinct ones).

The product of its digits is 192, while the sum is 17.

The square root of 41264 is about 203.1354228095. The cubic root of 41264 is about 34.5560246342.

Adding to 41264 its reverse (46214), we get a palindrome (87478).

Subtracting 41264 from its reverse (46214), we obtain a triangular number (4950 = T₉₉).

The spelling of 41264 in words is "forty-one thousand, two hundred sixty-four".