42764 has 6 divisors (see below), whose sum is σ = 74844. Its totient is φ = 21380.

The previous prime is 42751. The next prime is 42767. The reversal of 42764 is 46724.

It is not an unprimeable number, because it can be changed into a prime (42767) 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, 5342 + ... + 5349.

It is an arithmetic number, because the mean of its divisors is an integer number (12474).

2⁴²⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

42764 is a deficient number, since it is larger than the sum of its proper divisors (32080).

42764 is a wasteful number, since it uses less digits than its factorization.

42764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10695 (or 10693 counting only the distinct ones).

The product of its digits is 1344, while the sum is 23.

The square root of 42764 is about 206.7945840683. The cubic root of 42764 is about 34.9697698155.

The spelling of 42764 in words is "forty-two thousand, seven hundred sixty-four".