261763 has 8 divisors (see below), whose sum is σ = 288000. Its totient is φ = 236808.

The previous prime is 261761. The next prime is 261773. The reversal of 261763 is 367162.

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

It is not a de Polignac number, because 261763 - 2¹ = 261761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (261761) 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, 138 + ... + 736.

It is an arithmetic number, because the mean of its divisors is an integer number (36000).

2²⁶¹⁷⁶³ is an apocalyptic number.

261763 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

261763 is a deficient number, since it is larger than the sum of its proper divisors (26237).

261763 is a wasteful number, since it uses less digits than its factorization.

261763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641.

The product of its digits is 1512, while the sum is 25.

The square root of 261763 is about 511.6277943975. The cubic root of 261763 is about 63.9689791072.

It can be divided in two parts, 261 and 763, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 261763 in words is "two hundred sixty-one thousand, seven hundred sixty-three".