1038961 has 16 divisors (see below), whose sum is σ = 1317888. Its totient is φ = 795600.

The previous prime is 1038953. The next prime is 1039001. The reversal of 1038961 is 1698301.

It is a happy number.

1038961 is a nontrivial binomial coefficient, being equal to C(1442, 2).

It is a cyclic number.

It is not a de Polignac number, because 1038961 - 2³ = 1038953 is a prime.

It is an alternating number because its digits alternate between odd and even.

1038961 is a Rhonda number in base 15.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1038941) 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 15 ways as a sum of consecutive naturals, for example, 7866 + ... + 7996.

It is an arithmetic number, because the mean of its divisors is an integer number (82368).

2^1038961 is an apocalyptic number.

1038961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1038961 is the 1441-st triangular number and also the 721-st hexagonal number.

1038961 is the 481-st centered nonagonal number.

It is an amenable number.

1038961 is a deficient number, since it is larger than the sum of its proper divisors (278927).

1038961 is a wasteful number, since it uses less digits than its factorization.

1038961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252.

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1038961 is about 1019.2943637635. The cubic root of 1038961 is about 101.2821896330.

The spelling of 1038961 in words is "one million, thirty-eight thousand, nine hundred sixty-one".