54317952 has 240 divisors, whose sum is σ = 180686880. Its totient is φ = 16174080.

The previous prime is 54317891. The next prime is 54317959. The reversal of 54317952 is 25971345.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54317959) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1752177 + ... + 1752207.

It is an arithmetic number, because the mean of its divisors is an integer number (752862).

Almost surely, 2^54317952 is an apocalyptic number.

54317952 is a gapful number since it is divisible by the number (52) 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 54317952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90343440).

54317952 is an abundant number, since it is smaller than the sum of its proper divisors (126368928).

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

54317952 is a wasteful number, since it uses less digits than its factorization.

54317952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 49 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 54317952 is about 7370.0713700751. The cubic root of 54317952 is about 378.7167052391.

The spelling of 54317952 in words is "fifty-four million, three hundred seventeen thousand, nine hundred fifty-two".