261975 has 24 divisors (see below), whose sum is σ = 496000. Its totient is φ = 119520.

The previous prime is 261973. The next prime is 261977. The reversal of 261975 is 579162.

It is an interprime number because it is at equal distance from previous prime (261973) and next prime (261977).

It is not a de Polignac number, because 261975 - 2¹ = 261973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276 + ... + 774.

261975 is a Friedman number, since it can be written as (5-1)^9-(7+6)^2, using all its digits and the basic arithmetic operations.

2²⁶¹⁹⁷⁵ is an apocalyptic number.

261975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

261975 is a deficient number, since it is larger than the sum of its proper divisors (234025).

261975 is a wasteful number, since it uses less digits than its factorization.

261975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 514 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 261975 is about 511.8349343294. The cubic root of 261975 is about 63.9862437882.

The spelling of 261975 in words is "two hundred sixty-one thousand, nine hundred seventy-five".