1006751 has 2 divisors, whose sum is σ = 1006752. Its totient is φ = 1006750.

The previous prime is 1006739. The next prime is 1006769. The reversal of 1006751 is 1576001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1006751 - 2¹⁸ = 744607 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503375 + 503376.

It is an arithmetic number, because the mean of its divisors is an integer number (503376).

2^1006751 is an apocalyptic number.

1006751 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006751 is an equidigital number, since it uses as much as digits as its factorization.

1006751 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 1006751 is about 1003.3698221493. The cubic root of 1006751 is about 100.2245288241.

The spelling of 1006751 in words is "one million, six thousand, seven hundred fifty-one".