31083948 has 144 divisors (see below), whose sum is σ = 97284096. Its totient is φ = 8173440.

The previous prime is 31083947. The next prime is 31083961. The reversal of 31083948 is 84938013.

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

It is not an unprimeable number, because it can be changed into a prime (31083947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179590 + ... + 179762.

It is an arithmetic number, because the mean of its divisors is an integer number (675584).

Almost surely, 2^31083948 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 31083948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48642048).

31083948 is an abundant number, since it is smaller than the sum of its proper divisors (66200148).

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

31083948 is a wasteful number, since it uses less digits than its factorization.

31083948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 31083948 is about 5575.2980189403. The cubic root of 31083948 is about 314.4213716218.

It can be divided in two parts, 3108 and 3948, that added together give a square (7056 = 84²).

The spelling of 31083948 in words is "thirty-one million, eighty-three thousand, nine hundred forty-eight".