4601993 has 12 divisors (see below), whose sum is σ = 5137524. Its totient is φ = 4118400.

The previous prime is 4601977. The next prime is 4602011. The reversal of 4601993 is 3991064.

It can be written as a sum of positive squares in 2 ways, for example, as 1951609 + 2650384 = 1397^2 + 1628^2 .

It is not a de Polignac number, because 4601993 - 2⁴ = 4601977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4601293) 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, 8573 + ... + 9093.

It is an arithmetic number, because the mean of its divisors is an integer number (428127).

Almost surely, 2^4601993 is an apocalyptic number.

It is an amenable number.

4601993 is a deficient number, since it is larger than the sum of its proper divisors (535531).

4601993 is a wasteful number, since it uses less digits than its factorization.

4601993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 4601993 is about 2145.2256291589. The cubic root of 4601993 is about 166.3343650051.

The spelling of 4601993 in words is "four million, six hundred one thousand, nine hundred ninety-three".