31001056 has 48 divisors (see below), whose sum is σ = 64671264. Its totient is φ = 14598144.

The previous prime is 31001039. The next prime is 31001057. The reversal of 31001056 is 65010013.

It is a super-2 number, since 2×31001056² = 1922130946230272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31001057) 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 7 ways as a sum of consecutive naturals, for example, 53440 + ... + 54016.

It is an arithmetic number, because the mean of its divisors is an integer number (1347318).

Almost surely, 2^31001056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31001056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32335632).

31001056 is an abundant number, since it is smaller than the sum of its proper divisors (33670208).

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

31001056 is a wasteful number, since it uses less digits than its factorization.

31001056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 31001056 is about 5567.8591936219. The cubic root of 31001056 is about 314.1416321857.

Adding to 31001056 its reverse (65010013), we get a palindrome (96011069).

The spelling of 31001056 in words is "thirty-one million, one thousand, fifty-six".