981948 has 48 divisors (see below), whose sum is σ = 2572416. Its totient is φ = 288960.

The previous prime is 981947. The next prime is 981949. The reversal of 981948 is 849189.

It is an interprime number because it is at equal distance from previous prime (981947) and next prime (981949).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 981948.

It is not an unprimeable number, because it can be changed into a prime (981941) 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, 5590 + ... + 5762.

It is an arithmetic number, because the mean of its divisors is an integer number (53592).

2⁹⁸¹⁹⁴⁸ 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 981948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286208).

981948 is an abundant number, since it is smaller than the sum of its proper divisors (1590468).

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

981948 is a wasteful number, since it uses less digits than its factorization.

981948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 232 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The square root of 981948 is about 990.9328937925. The cubic root of 981948 is about 99.3946090808.

The spelling of 981948 in words is "nine hundred eighty-one thousand, nine hundred forty-eight".