42664 has 8 divisors (see below), whose sum is σ = 80010. Its totient is φ = 21328.

The previous prime is 42649. The next prime is 42667. The reversal of 42664 is 46624.

It can be written as a sum of positive squares in only one way, i.e., 22500 + 20164 = 150^2 + 142^2 .

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

It is an Ulam number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (42667) 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 as a sum of consecutive naturals, namely, 2659 + ... + 2674.

2⁴²⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

42664 is a deficient number, since it is larger than the sum of its proper divisors (37346).

42664 is a wasteful number, since it uses less digits than its factorization.

42664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5339 (or 5335 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 42664 is about 206.5526567246. The cubic root of 42664 is about 34.9424905906.

The spelling of 42664 in words is "forty-two thousand, six hundred sixty-four".