31727948 has 48 divisors (see below), whose sum is σ = 69726720. Its totient is φ = 12317184.

The previous prime is 31727947. The next prime is 31727953. The reversal of 31727948 is 84972713.

Its product of digits (84672) is a multiple of the sum of its prime factors (2646).

It is not an unprimeable number, because it can be changed into a prime (31727947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10940 + ... + 13532.

It is an arithmetic number, because the mean of its divisors is an integer number (1452640).

Almost surely, 2^31727948 is an apocalyptic number.

31727948 is a gapful number since it is divisible by the number (38) 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 31727948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34863360).

31727948 is an abundant number, since it is smaller than the sum of its proper divisors (37998772).

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

31727948 is a wasteful number, since it uses less digits than its factorization.

31727948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2644 counting only the distinct ones).

The product of its digits is 84672, while the sum is 41.

The square root of 31727948 is about 5632.7566963255. The cubic root of 31727948 is about 316.5779494163.

The spelling of 31727948 in words is "thirty-one million, seven hundred twenty-seven thousand, nine hundred forty-eight".