1052961 has 48 divisors (see below), whose sum is σ = 1915200. Its totient is φ = 508032.

The previous prime is 1052939. The next prime is 1052971. The reversal of 1052961 is 1692501.

It is not a de Polignac number, because 1052961 - 2⁶ = 1052897 is a prime.

It is a super-2 number, since 2×1052961² = 2217453735042, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1052971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36295 + ... + 36323.

It is an arithmetic number, because the mean of its divisors is an integer number (39900).

2^1052961 is an apocalyptic number.

It is an amenable number.

1052961 is a deficient number, since it is larger than the sum of its proper divisors (862239).

1052961 is a wasteful number, since it uses less digits than its factorization.

1052961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 1052961 is about 1026.1388794895. The cubic root of 1052961 is about 101.7350872707.

Adding to 1052961 its product of nonzero digits (540), we get a palindrome (1053501).

The spelling of 1052961 in words is "one million, fifty-two thousand, nine hundred sixty-one".