31319136 has 120 divisors (see below), whose sum is σ = 94586184. Its totient is φ = 10160640.

The previous prime is 31319129. The next prime is 31319149. The reversal of 31319136 is 63191313.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 111316 + ... + 111596.

Almost surely, 2^31319136 is an apocalyptic number.

31319136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31319136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47293092).

31319136 is an abundant number, since it is smaller than the sum of its proper divisors (63267048).

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

31319136 is a wasteful number, since it uses less digits than its factorization.

31319136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 329 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 31319136 is about 5596.3502392184. The cubic root of 31319136 is about 315.2123737917.

The spelling of 31319136 in words is "thirty-one million, three hundred nineteen thousand, one hundred thirty-six".