1003961 has 8 divisors (see below), whose sum is σ = 1171200. Its totient is φ = 860244.

The previous prime is 1003957. The next prime is 1003963. The reversal of 1003961 is 1693001.

It is not a de Polignac number, because 1003961 - 2² = 1003957 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 (1003963) 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, 1121 + ... + 1806.

It is an arithmetic number, because the mean of its divisors is an integer number (146400).

2^1003961 is an apocalyptic number.

It is an amenable number.

1003961 is a deficient number, since it is larger than the sum of its proper divisors (167239).

1003961 is an frugal number, since it uses more digits than its factorization.

1003961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 1003961 is about 1001.9785426844. The cubic root of 1003961 is about 100.1318593879.

Adding to 1003961 its reverse (1693001), we get a palindrome (2696962).

The spelling of 1003961 in words is "one million, three thousand, nine hundred sixty-one".