274761 has 6 divisors (see below), whose sum is σ = 396890. Its totient is φ = 183168.

The previous prime is 274751. The next prime is 274777. The reversal of 274761 is 167472.

It can be written as a sum of positive squares in only one way, i.e., 145161 + 129600 = 381^2 + 360^2 .

It is not a de Polignac number, because 274761 - 2⁶ = 274697 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 274761.

It is not an unprimeable number, because it can be changed into a prime (274711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15256 + ... + 15273.

2²⁷⁴⁷⁶¹ is an apocalyptic number.

It is an amenable number.

274761 is a deficient number, since it is larger than the sum of its proper divisors (122129).

274761 is a wasteful number, since it uses less digits than its factorization.

274761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30535 (or 30532 counting only the distinct ones).

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

The square root of 274761 is about 524.1764969931. The cubic root of 274761 is about 65.0107280123.

It can be divided in two parts, 274 and 761, that added together give a triangular number (1035 = T₄₅).

The spelling of 274761 in words is "two hundred seventy-four thousand, seven hundred sixty-one".