1267875 has 72 divisors (see below), whose sum is σ = 2774304. Its totient is φ = 554400.

The previous prime is 1267873. The next prime is 1267883. The reversal of 1267875 is 5787621.

It is a Cunningham number, because it is equal to 1126²-1.

It is not a de Polignac number, because 1267875 - 2¹ = 1267873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1267873) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55114 + ... + 55136.

It is an arithmetic number, because the mean of its divisors is an integer number (38532).

2^1267875 is an apocalyptic number.

1267875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1267875 is an abundant number, since it is smaller than the sum of its proper divisors (1506429).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1267875 is a wasteful number, since it uses less digits than its factorization.

1267875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 38 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 1267875 is about 1125.9995559502. Note that the first 3 decimals coincide. The cubic root of 1267875 is about 108.2327798063.

It can be divided in two parts, 126 and 7875, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 1267875 in words is "one million, two hundred sixty-seven thousand, eight hundred seventy-five".