19261 has 8 divisors (see below), whose sum is σ = 22464. Its totient is φ = 16320.

The previous prime is 19259. The next prime is 19267. The reversal of 19261 is 16291.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 19261 - 2¹ = 19259 is a prime.

It is a super-2 number, since 2×19261² = 741972242, which contains 22 as substring.

It is a Duffinian number.

19261 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136 + ... + 238.

It is an arithmetic number, because the mean of its divisors is an integer number (2808).

2¹⁹²⁶¹ is an apocalyptic number.

19261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

19261 is a deficient number, since it is larger than the sum of its proper divisors (3203).

19261 is a wasteful number, since it uses less digits than its factorization.

19261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131.

The product of its digits is 108, while the sum is 19.

The square root of 19261 is about 138.7840048421. The cubic root of 19261 is about 26.8056459479.

It can be divided in two parts, 192 and 61, that added together give a triangular number (253 = T₂₂).

The spelling of 19261 in words is "nineteen thousand, two hundred sixty-one".