42964 has 12 divisors (see below), whose sum is σ = 78624. Its totient is φ = 20504.

The previous prime is 42961. The next prime is 42967. The reversal of 42964 is 46924.

It is an interprime number because it is at equal distance from previous prime (42961) and next prime (42967).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 142 + ... + 325.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2⁴²⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

42964 is a deficient number, since it is larger than the sum of its proper divisors (35660).

42964 is a wasteful number, since it uses less digits than its factorization.

42964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 492 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 42964 is about 207.2775916495. The cubic root of 42964 is about 35.0242009493.

The spelling of 42964 in words is "forty-two thousand, nine hundred sixty-four".