1005751 has 2 divisors, whose sum is σ = 1005752. Its totient is φ = 1005750.

The previous prime is 1005709. The next prime is 1005761. The reversal of 1005751 is 1575001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1005751 - 2⁹ = 1005239 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502875 + 502876.

It is an arithmetic number, because the mean of its divisors is an integer number (502876).

2^1005751 is an apocalyptic number.

1005751 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005751 is an equidigital number, since it uses as much as digits as its factorization.

1005751 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 175, while the sum is 19.

The square root of 1005751 is about 1002.8713775954. The cubic root of 1005751 is about 100.1913336807.

It can be divided in two parts, 100575 and 1, that added together give a triangular number (100576 = T₄₄₈).

The spelling of 1005751 in words is "one million, five thousand, seven hundred fifty-one".