3129361 has 9 divisors (see below), whose sum is σ = 3294993. Its totient is φ = 2971920.

The previous prime is 3129323. The next prime is 3129383. The reversal of 3129361 is 1639213.

The square root of 3129361 is 1769.

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

It can be written as a sum of positive squares in 4 ways, for example, as 938961 + 2190400 = 969^2 + 1480^2 .

It is not a de Polignac number, because 3129361 - 2⁹ = 3128849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3129391) 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, 51271 + ... + 51331.

Almost surely, 2^3129361 is an apocalyptic number.

3129361 is the 1769-th square number.

3129361 is the 885-th centered octagonal number.

It is an amenable number.

3129361 is a deficient number, since it is larger than the sum of its proper divisors (165632).

3129361 is an frugal number, since it uses more digits than its factorization.

3129361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 90 counting only the distinct ones).

The product of its digits is 972, while the sum is 25.

The cubic root of 3129361 is about 146.2688640532.

Multiplying 3129361 by its sum of digits (25), we get a square (78234025 = 8845²).

It can be divided in two parts, 31 and 29361, that added together give a palindrome (29392).

The spelling of 3129361 in words is "three million, one hundred twenty-nine thousand, three hundred sixty-one".