261384 has 16 divisors (see below), whose sum is σ = 653520. Its totient is φ = 87120.

The previous prime is 261379. The next prime is 261389. The reversal of 261384 is 483162.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (261379) and next prime (261389).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 10891 = 261384 / (2 + 6 + 1 + 3 + 8 + 4).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (261389) by changing a digit.

261384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5422 + ... + 5469.

It is an arithmetic number, because the mean of its divisors is an integer number (40845).

2²⁶¹³⁸⁴ is an apocalyptic number.

261384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

261384 is an abundant number, since it is smaller than the sum of its proper divisors (392136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

261384 is a wasteful number, since it uses less digits than its factorization.

261384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10900 (or 10896 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 261384 is about 511.2572737869. The cubic root of 261384 is about 63.9380911750.

The spelling of 261384 in words is "two hundred sixty-one thousand, three hundred eighty-four".