261774 has 12 divisors (see below), whose sum is σ = 567216. Its totient is φ = 87252.

The previous prime is 261773. The next prime is 261787. The reversal of 261774 is 477162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7254 + ... + 7289.

It is an arithmetic number, because the mean of its divisors is an integer number (47268).

2²⁶¹⁷⁷⁴ is an apocalyptic number.

261774 is an abundant number, since it is smaller than the sum of its proper divisors (305442).

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

261774 is a wasteful number, since it uses less digits than its factorization.

261774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14551 (or 14548 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 261774 is about 511.6385442869. The cubic root of 261774 is about 63.9698751453.

It can be divided in two parts, 261 and 774, that added together give a triangular number (1035 = T₄₅).

The spelling of 261774 in words is "two hundred sixty-one thousand, seven hundred seventy-four".