1261755 has 24 divisors (see below), whose sum is σ = 2386800. Its totient is φ = 611520.

The previous prime is 1261747. The next prime is 1261759. The reversal of 1261755 is 5571621.

It is not a de Polignac number, because 1261755 - 2³ = 1261747 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1261759) 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, 780 + ... + 1769.

It is an arithmetic number, because the mean of its divisors is an integer number (99450).

2^1261755 is an apocalyptic number.

1261755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1261755 is a deficient number, since it is larger than the sum of its proper divisors (1125045).

1261755 is a wasteful number, since it uses less digits than its factorization.

1261755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2568 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 1261755 is about 1123.2786831415. The cubic root of 1261755 is about 108.0583532393.

It can be divided in two parts, 1261 and 755, that added together give a triangular number (2016 = T₆₃).

The spelling of 1261755 in words is "one million, two hundred sixty-one thousand, seven hundred fifty-five".