54397252 has 72 divisors (see below), whose sum is σ = 122690904. Its totient is φ = 20901888.

The previous prime is 54397249. The next prime is 54397253. The reversal of 54397252 is 25279345.

It can be written as a sum of positive squares in 4 ways, for example, as 26687556 + 27709696 = 5166^2 + 5264^2 .

It is a super-2 number, since 2×54397252² = 5918122050303008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (54397253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93988 + ... + 94564.

Almost surely, 2^54397252 is an apocalyptic number.

54397252 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 54397252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61345452).

54397252 is an abundant number, since it is smaller than the sum of its proper divisors (68293652).

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

54397252 is a wasteful number, since it uses less digits than its factorization.

54397252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 636 counting only the distinct ones).

The product of its digits is 75600, while the sum is 37.

The square root of 54397252 is about 7375.4492744510. The cubic root of 54397252 is about 378.9009146367.

The spelling of 54397252 in words is "fifty-four million, three hundred ninety-seven thousand, two hundred fifty-two".