261927 has 16 divisors (see below), whose sum is σ = 396000. Its totient is φ = 171072.

The previous prime is 261917. The next prime is 261959. The reversal of 261927 is 729162.

It is not a de Polignac number, because 261927 - 2⁷ = 261799 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

261927 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 261927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2349 + ... + 2457.

It is an arithmetic number, because the mean of its divisors is an integer number (24750).

261927 is a Friedman number, since it can be written as (6-2)^9-217, using all its digits and the basic arithmetic operations.

2²⁶¹⁹²⁷ is an apocalyptic number.

261927 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

261927 is a deficient number, since it is larger than the sum of its proper divisors (134073).

261927 is a wasteful number, since it uses less digits than its factorization.

261927 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 261927 is about 511.7880420643. The cubic root of 261927 is about 63.9823356198.

It can be divided in two parts, 26 and 1927, that added together give a triangular number (1953 = T₆₂).

The spelling of 261927 in words is "two hundred sixty-one thousand, nine hundred twenty-seven".