31438485 has 48 divisors (see below), whose sum is σ = 59714928. Its totient is φ = 15206400.

The previous prime is 31438481. The next prime is 31438501. The reversal of 31438485 is 58483413.

31438485 is a nontrivial binomial coefficient, being equal to C(7930, 2).

It can be written as a sum of positive squares in 8 ways, for example, as 14447601 + 16990884 = 3801^2 + 4122^2 .

It is not a de Polignac number, because 31438485 - 2² = 31438481 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31438481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35245 + ... + 36125.

It is an arithmetic number, because the mean of its divisors is an integer number (1244061).

Almost surely, 2^31438485 is an apocalyptic number.

31438485 is the 7929-th triangular number and also the 3965-th hexagonal number.

It is an amenable number.

31438485 is a deficient number, since it is larger than the sum of its proper divisors (28276443).

31438485 is a wasteful number, since it uses less digits than its factorization.

31438485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 963 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 31438485 is about 5607.0032102720. The cubic root of 31438485 is about 315.6122634471.

Subtracting from 31438485 its sum of digits (36), we obtain a square (31438449 = 5607²).

It can be divided in two parts, 3143 and 8485, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 31438485 in words is "thirty-one million, four hundred thirty-eight thousand, four hundred eighty-five".