261477 has 12 divisors (see below), whose sum is σ = 400140. Its totient is φ = 163968.

The previous prime is 261467. The next prime is 261509. The reversal of 261477 is 774162.

It can be written as a sum of positive squares in 2 ways, for example, as 125316 + 136161 = 354^2 + 369^2 .

It is not a de Polignac number, because 261477 - 2¹⁰ = 260453 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 261477.

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 261477.

It is not an unprimeable number, because it can be changed into a prime (261407) 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 11 ways as a sum of consecutive naturals, for example, 702 + ... + 1007.

It is an arithmetic number, because the mean of its divisors is an integer number (33345).

2²⁶¹⁴⁷⁷ is an apocalyptic number.

It is an amenable number.

261477 is a deficient number, since it is larger than the sum of its proper divisors (138663).

261477 is a wasteful number, since it uses less digits than its factorization.

261477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1729 counting only the distinct ones).

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

The square root of 261477 is about 511.3482179494. The cubic root of 261477 is about 63.9456732986.

The spelling of 261477 in words is "two hundred sixty-one thousand, four hundred seventy-seven".