31992000001 has 32 divisors (see below), whose sum is σ = 36963688608. Its totient is φ = 27426816000.

The previous prime is 31991999971. The next prime is 31992000011. The reversal of 31992000001 is 10000029913.

It can be written as a sum of positive squares in 16 ways, for example, as 14415604225 + 17576395776 = 120065^2 + 132576^2 .

It is a 3-Lehmer number, since φ(31992000001) divides (31992000001-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 31992000001 - 2⁹ = 31991999489 is a prime.

It is a deceptive number, since it divides R_31992000000.

It is a self number, because there is not a number n which added to its sum of digits gives 31992000001.

It is not an unprimeable number, because it can be changed into a prime (31992000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7994001 + ... + 7998001.

It is an arithmetic number, because the mean of its divisors is an integer number (1155115269).

It is a Poulet number, since it divides 2^31992000000-1.

Almost surely, 2^31992000001 is an apocalyptic number.

It is an amenable number.

31992000001 is a deficient number, since it is larger than the sum of its proper divisors (4971688607).

31992000001 is a wasteful number, since it uses less digits than its factorization.

31992000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501.

The product of its (nonzero) digits is 486, while the sum is 25.

Adding to 31992000001 its reverse (10000029913), we get a palindrome (41992029914).

The spelling of 31992000001 in words is "thirty-one billion, nine hundred ninety-two million, one", and thus it is an aban number.