4200193 has 6 divisors (see below), whose sum is σ = 4260354. Its totient is φ = 4140864.

The previous prime is 4200187. The next prime is 4200199. The reversal of 4200193 is 3910024.

It is an interprime number because it is at equal distance from previous prime (4200187) and next prime (4200199).

It can be written as a sum of positive squares in only one way, i.e., 3301489 + 898704 = 1817^2 + 948^2 .

It is not a de Polignac number, because 4200193 - 2²¹ = 2103041 is a prime.

It is a Duffinian number.

4200193 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 4200193.

It is not an unprimeable number, because it can be changed into a prime (4200199) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5905 + ... + 6577.

It is an arithmetic number, because the mean of its divisors is an integer number (710059).

Almost surely, 2^4200193 is an apocalyptic number.

It is an amenable number.

4200193 is a deficient number, since it is larger than the sum of its proper divisors (60161).

4200193 is an frugal number, since it uses more digits than its factorization.

4200193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 4200193 is about 2049.4372398295. The cubic root of 4200193 is about 161.3453359275.

It can be divided in two parts, 42001 and 93, that multiplied together give a palindrome (3906093).

The spelling of 4200193 in words is "four million, two hundred thousand, one hundred ninety-three".