1282905 has 64 divisors (see below), whose sum is σ = 2661120. Its totient is φ = 580608.

The previous prime is 1282903. The next prime is 1282907. The reversal of 1282905 is 5092821.

It is an interprime number because it is at equal distance from previous prime (1282903) and next prime (1282907).

It is not a de Polignac number, because 1282905 - 2¹ = 1282903 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1282903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29814 + ... + 29856.

It is an arithmetic number, because the mean of its divisors is an integer number (41580).

2^1282905 is an apocalyptic number.

1282905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1282905 is an abundant number, since it is smaller than the sum of its proper divisors (1378215).

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

1282905 is a wasteful number, since it uses less digits than its factorization.

1282905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1282905 is about 1132.6539630443. The cubic root of 1282905 is about 108.6587820108.

It can be divided in two parts, 1282 and 905, that added together give a 7-th power (2187 = 3⁷).

The spelling of 1282905 in words is "one million, two hundred eighty-two thousand, nine hundred five".