1007161 has 2 divisors, whose sum is σ = 1007162. Its totient is φ = 1007160.

The previous prime is 1007137. The next prime is 1007173. The reversal of 1007161 is 1617001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 670761 + 336400 = 819^2 + 580^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007161 - 2⁵ = 1007129 is a prime.

It is not a weakly prime, because it can be changed into another prime (1007861) 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, 503580 + 503581.

It is an arithmetic number, because the mean of its divisors is an integer number (503581).

2^1007161 is an apocalyptic number.

It is an amenable number.

1007161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007161 is an equidigital number, since it uses as much as digits as its factorization.

1007161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 1007161 is about 1003.5741128586. The cubic root of 1007161 is about 100.2381324791.

The spelling of 1007161 in words is "one million, seven thousand, one hundred sixty-one".