42693 has 16 divisors (see below), whose sum is σ = 69120. Its totient is φ = 22896.

The previous prime is 42689. The next prime is 42697. The reversal of 42693 is 39624.

42693 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42689) and next prime (42697).

It is not a de Polignac number, because 42693 - 2² = 42689 is a prime.

42693 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346 + ... + 452.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

2⁴²⁶⁹³ is an apocalyptic number.

It is an amenable number.

42693 is a deficient number, since it is larger than the sum of its proper divisors (26427).

42693 is a wasteful number, since it uses less digits than its factorization.

42693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136.

The product of its digits is 1296, while the sum is 24.

The square root of 42693 is about 206.6228448163. The cubic root of 42693 is about 34.9504059502.

The spelling of 42693 in words is "forty-two thousand, six hundred ninety-three".