1000953 has 6 divisors (see below), whose sum is σ = 1445834. Its totient is φ = 667296.

The previous prime is 1000931. The next prime is 1000969. The reversal of 1000953 is 3590001.

It can be written as a sum of positive squares in only one way, i.e., 944784 + 56169 = 972^2 + 237^2 .

It is not a de Polignac number, because 1000953 - 2⁵ = 1000921 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000973) 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 in 5 ways as a sum of consecutive naturals, for example, 55600 + ... + 55617.

2^1000953 is an apocalyptic number.

It is an amenable number.

1000953 is a deficient number, since it is larger than the sum of its proper divisors (444881).

1000953 is a wasteful number, since it uses less digits than its factorization.

1000953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111223 (or 111220 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 1000953 is about 1000.4763865279. The cubic root of 1000953 is about 100.0317565808.

Adding to 1000953 its reverse (3590001), we get a palindrome (4590954).

It can be divided in two parts, 1000 and 953, that added together give a triangular number (1953 = T₆₂).

The spelling of 1000953 in words is "one million, nine hundred fifty-three", and thus it is an aban number.