31663129 has 9 divisors (see below), whose sum is σ = 33737151. Its totient is φ = 29710560.

The previous prime is 31663103. The next prime is 31663133. The reversal of 31663129 is 92136613.

The square root of 31663129 is 5627.

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., 24651225 + 7011904 = 4965^2 + 2648^2 .

It is not a de Polignac number, because 31663129 - 2⁵ = 31663097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31663129.

It is not an unprimeable number, because it can be changed into a prime (31663169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 95494 + ... + 95824.

Almost surely, 2^31663129 is an apocalyptic number.

31663129 is the 5627-th square number.

31663129 is the 2814-th centered octagonal number.

It is an amenable number.

31663129 is a deficient number, since it is larger than the sum of its proper divisors (2074022).

31663129 is an frugal number, since it uses more digits than its factorization.

31663129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 348 counting only the distinct ones).

The product of its digits is 5832, while the sum is 31.

The cubic root of 31663129 is about 316.3622168386.

The spelling of 31663129 in words is "thirty-one million, six hundred sixty-three thousand, one hundred twenty-nine".