31121964 has 36 divisors (see below), whose sum is σ = 78911560. Its totient is φ = 10342080.

The previous prime is 31121963. The next prime is 31121977. The reversal of 31121964 is 46912113.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31121963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12504 + ... + 14784.

Almost surely, 2^31121964 is an apocalyptic number.

It is an amenable number.

31121964 is an abundant number, since it is smaller than the sum of its proper divisors (47789596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31121964 is a wasteful number, since it uses less digits than its factorization.

31121964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2665 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 31121964 is about 5578.7063016438. The cubic root of 31121964 is about 314.5494996326.

The spelling of 31121964 in words is "thirty-one million, one hundred twenty-one thousand, nine hundred sixty-four".