261752 has 8 divisors (see below), whose sum is σ = 490800. Its totient is φ = 130872.

The previous prime is 261739. The next prime is 261757. The reversal of 261752 is 257162.

It is a tau number, because it is divible by the number of its divisors (8).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261757) 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 as a sum of consecutive naturals, namely, 16352 + ... + 16367.

It is an arithmetic number, because the mean of its divisors is an integer number (61350).

2²⁶¹⁷⁵² is an apocalyptic number.

It is an amenable number.

261752 is a deficient number, since it is larger than the sum of its proper divisors (229048).

261752 is a wasteful number, since it uses less digits than its factorization.

261752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32725 (or 32721 counting only the distinct ones).

The product of its digits is 840, while the sum is 23.

The square root of 261752 is about 511.6170442821. The cubic root of 261752 is about 63.9680830439.

The spelling of 261752 in words is "two hundred sixty-one thousand, seven hundred fifty-two".