1072961 has 2 divisors, whose sum is σ = 1072962. Its totient is φ = 1072960.

The previous prime is 1072957. The next prime is 1072969. The reversal of 1072961 is 1692701.

1072961 is nontrivially palindromic in base 2.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1062961 + 10000 = 1031^2 + 100^2 .

It is a cyclic number.

It is not a de Polignac number, because 1072961 - 2² = 1072957 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1072961.

It is not a weakly prime, because it can be changed into another prime (1072969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 536480 + 536481.

It is an arithmetic number, because the mean of its divisors is an integer number (536481).

2^1072961 is an apocalyptic number.

It is an amenable number.

1072961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1072961 is an equidigital number, since it uses as much as digits as its factorization.

1072961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 1072961 is about 1035.8383078454. The cubic root of 1072961 is about 102.3751722543.

The spelling of 1072961 in words is "one million, seventy-two thousand, nine hundred sixty-one".