4142993 has 2 divisors, whose sum is σ = 4142994. Its totient is φ = 4142992.

The previous prime is 4142989. The next prime is 4143011. The reversal of 4142993 is 3992414.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3356224 + 786769 = 1832^2 + 887^2 .

It is a cyclic number.

It is not a de Polignac number, because 4142993 - 2² = 4142989 is a prime.

It is a super-3 number, since 3×4142993³ (a number of 21 digits) contains 333 as substring.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (4142903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2071496 + 2071497.

It is an arithmetic number, because the mean of its divisors is an integer number (2071497).

Almost surely, 2^4142993 is an apocalyptic number.

It is an amenable number.

4142993 is a deficient number, since it is larger than the sum of its proper divisors (1).

4142993 is an equidigital number, since it uses as much as digits as its factorization.

4142993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7776, while the sum is 32.

The square root of 4142993 is about 2035.4343516803. The cubic root of 4142993 is about 160.6095627793.

It can be divided in two parts, 41 and 42993, that added together give a palindrome (43034).

The spelling of 4142993 in words is "four million, one hundred forty-two thousand, nine hundred ninety-three".