31803948 has 96 divisors (see below), whose sum is σ = 94752000. Its totient is φ = 9123840.

The previous prime is 31803943. The next prime is 31803971. The reversal of 31803948 is 84930813.

It is a super-2 number, since 2×31803948² = 2022982216773408, which contains 22 as substring.

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 (31803943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21868 + ... + 23276.

It is an arithmetic number, because the mean of its divisors is an integer number (987000).

Almost surely, 2^31803948 is an apocalyptic number.

31803948 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 31803948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47376000).

31803948 is an abundant number, since it is smaller than the sum of its proper divisors (62948052).

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

31803948 is a wasteful number, since it uses less digits than its factorization.

31803948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1444 counting only the distinct ones).

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

The square root of 31803948 is about 5639.4989139107. The cubic root of 31803948 is about 316.8305210494.

The spelling of 31803948 in words is "thirty-one million, eight hundred three thousand, nine hundred forty-eight".