19061 has 6 divisors (see below), whose sum is σ = 22230. Its totient is φ = 16296.

The previous prime is 19051. The next prime is 19069. The reversal of 19061 is 16091.

19061 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in only one way, i.e., 14161 + 4900 = 119^2 + 70^2 .

It is not a de Polignac number, because 19061 - 2¹⁴ = 2677 is a prime.

19061 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a plaindrome in base 11 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19069) 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, 146 + ... + 243.

It is an arithmetic number, because the mean of its divisors is an integer number (3705).

2¹⁹⁰⁶¹ is an apocalyptic number.

It is an amenable number.

19061 is a deficient number, since it is larger than the sum of its proper divisors (3169).

19061 is an equidigital number, since it uses as much as digits as its factorization.

19061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 19061 is about 138.0615804632. The cubic root of 19061 is about 26.7125425601.

Subtracting from 19061 its sum of digits (17), we obtain a square (19044 = 138²).

The spelling of 19061 in words is "nineteen thousand, sixty-one".