42993 has 12 divisors (see below), whose sum is σ = 65988. Its totient is φ = 26880.

The previous prime is 42989. The next prime is 43003. The reversal of 42993 is 39924.

It can be written as a sum of positive squares in 2 ways, for example, as 31329 + 11664 = 177^2 + 108^2 .

It is not a de Polignac number, because 42993 - 2² = 42989 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13 + ... + 293.

It is an arithmetic number, because the mean of its divisors is an integer number (5499).

2⁴²⁹⁹³ is an apocalyptic number.

It is an amenable number.

42993 is a deficient number, since it is larger than the sum of its proper divisors (22995).

42993 is a wasteful number, since it uses less digits than its factorization.

42993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 301 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 42993 is about 207.3475343475. The cubic root of 42993 is about 35.0320794320.

It can be divided in two parts, 42 and 993, that added together give a triangular number (1035 = T₄₅).

The spelling of 42993 in words is "forty-two thousand, nine hundred ninety-three".