261892 has 12 divisors (see below), whose sum is σ = 461916. Its totient is φ = 129920.

The previous prime is 261887. The next prime is 261917. The reversal of 261892 is 298162.

It is a happy number.

261892 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 112896 + 148996 = 336^2 + 386^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 261892.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 792 + ... + 1072.

It is an arithmetic number, because the mean of its divisors is an integer number (38493).

2²⁶¹⁸⁹² is an apocalyptic number.

It is an amenable number.

261892 is a deficient number, since it is larger than the sum of its proper divisors (200024).

261892 is a wasteful number, since it uses less digits than its factorization.

261892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 516 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 261892 is about 511.7538470788. The cubic root of 261892 is about 63.9794856126.

The spelling of 261892 in words is "two hundred sixty-one thousand, eight hundred ninety-two".