31483872 has 216 divisors, whose sum is σ = 109798416. Its totient is φ = 8515584.

The previous prime is 31483871. The next prime is 31483877. The reversal of 31483872 is 27838413.

It is a super-2 number, since 2×31483872² = 1982468392224768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31483871) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 324528 + ... + 324624.

It is an arithmetic number, because the mean of its divisors is an integer number (508326).

Almost surely, 2^31483872 is an apocalyptic number.

31483872 is a gapful number since it is divisible by the number (32) 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 31483872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54899208).

31483872 is an abundant number, since it is smaller than the sum of its proper divisors (78314544).

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

31483872 is a wasteful number, since it uses less digits than its factorization.

31483872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 31483872 is about 5611.0490997674. The cubic root of 31483872 is about 315.7640710794.

The spelling of 31483872 in words is "thirty-one million, four hundred eighty-three thousand, eight hundred seventy-two".