19742593 has 16 divisors (see below), whose sum is σ = 22695120. Its totient is φ = 17012736.

The previous prime is 19742557. The next prime is 19742599. The reversal of 19742593 is 39524791.

It can be written as a sum of positive squares in 8 ways, for example, as 2169729 + 17572864 = 1473^2 + 4192^2 .

It is not a de Polignac number, because 19742593 - 2¹⁷ = 19611521 is a prime.

It is a Duffinian number.

Its product of digits (68040) is a multiple of the sum of its prime divisors (756).

It is not an unprimeable number, because it can be changed into a prime (19742599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34413 + ... + 34981.

It is an arithmetic number, because the mean of its divisors is an integer number (1418445).

Almost surely, 2^19742593 is an apocalyptic number.

19742593 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

19742593 is a deficient number, since it is larger than the sum of its proper divisors (2952527).

19742593 is a wasteful number, since it uses less digits than its factorization.

19742593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756.

The product of its digits is 68040, while the sum is 40.

The square root of 19742593 is about 4443.2637779002. The cubic root of 19742593 is about 270.2722128896.

The spelling of 19742593 in words is "nineteen million, seven hundred forty-two thousand, five hundred ninety-three".