1072964 has 12 divisors (see below), whose sum is σ = 1885884. Its totient is φ = 534144.

The previous prime is 1072961. The next prime is 1072969. The reversal of 1072964 is 4692701.

1072964 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 2 ways, for example, as 432964 + 640000 = 658^2 + 800^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1072961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 824 + ... + 1680.

It is an arithmetic number, because the mean of its divisors is an integer number (157157).

2^1072964 is an apocalyptic number.

It is an amenable number.

1072964 is a deficient number, since it is larger than the sum of its proper divisors (812920).

1072964 is a wasteful number, since it uses less digits than its factorization.

1072964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 1072964 is about 1035.8397559468. The cubic root of 1072964 is about 102.3752676679.

The spelling of 1072964 in words is "one million, seventy-two thousand, nine hundred sixty-four".