1006889 has 8 divisors (see below), whose sum is σ = 1100232. Its totient is φ = 915840.

The previous prime is 1006883. The next prime is 1006891. The reversal of 1006889 is 9886001.

It can be written as a sum of positive squares in 4 ways, for example, as 94864 + 912025 = 308^2 + 955^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1006889 - 2⁸ = 1006633 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419 + ... + 1479.

It is an arithmetic number, because the mean of its divisors is an integer number (137529).

2^1006889 is an apocalyptic number.

It is an amenable number.

1006889 is a deficient number, since it is larger than the sum of its proper divisors (93343).

1006889 is a wasteful number, since it uses less digits than its factorization.

1006889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147.

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 1006889 is about 1003.4385880561. The cubic root of 1006889 is about 100.2291080276.

It can be divided in two parts, 100 and 6889, that multiplied together give a square (688900 = 830²).

The spelling of 1006889 in words is "one million, six thousand, eight hundred eighty-nine".