1252161 has 9 divisors (see below), whose sum is σ = 1813539. Its totient is φ = 832536.

The previous prime is 1252159. The next prime is 1252177. The reversal of 1252161 is 1612521.

The square root of 1252161 is 1119.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 680625 + 571536 = 825^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1252161 - 2^{1} = 1252159 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1252151) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3171 + ... + 3543.

2^{1252161} is an apocalyptic number.

1252161 is the 1119-th square number.

1252161 is the 560-th centered octagonal number.

It is an amenable number.

1252161 is a deficient number, since it is larger than the sum of its proper divisors (561378).

1252161 is an frugal number, since it uses more digits than its factorization.

1252161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 376 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The cubic root of 1252161 is about 107.7837752082.

Adding to 1252161 its reverse (1612521), we get a palindrome (2864682).

The spelling of 1252161 in words is "one million, two hundred fifty-two thousand, one hundred sixty-one".

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