261751 has 8 divisors (see below), whose sum is σ = 304544. Its totient is φ = 220320.

The previous prime is 261739. The next prime is 261757. The reversal of 261751 is 157162.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 261751 - 2¹⁵ = 228983 is a prime.

It is a Duffinian number.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121 + ... + 733.

It is an arithmetic number, because the mean of its divisors is an integer number (38068).

2²⁶¹⁷⁵¹ is an apocalyptic number.

261751 is a deficient number, since it is larger than the sum of its proper divisors (42793).

261751 is an equidigital number, since it uses as much as digits as its factorization.

261751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681.

The product of its digits is 420, while the sum is 22.

The square root of 261751 is about 511.6160669877. The cubic root of 261751 is about 63.9680015824.

The spelling of 261751 in words is "two hundred sixty-one thousand, seven hundred fifty-one".