53582232 has 64 divisors (see below), whose sum is σ = 154742400. Its totient is φ = 15280640.

The previous prime is 53582197. The next prime is 53582233. The reversal of 53582232 is 23228535.

It is a super-2 number, since 2×53582232² = 5742111172203648, which contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 53582232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53582233) 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, 1482 + ... + 10457.

It is an arithmetic number, because the mean of its divisors is an integer number (2417850).

Almost surely, 2^53582232 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 53582232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77371200).

53582232 is an abundant number, since it is smaller than the sum of its proper divisors (101160168).

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

53582232 is a wasteful number, since it uses less digits than its factorization.

53582232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11976 (or 11972 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 53582232 is about 7319.9885245812. The cubic root of 53582232 is about 376.9990595375. Note that the first 3 decimals are identical.

It can be divided in two parts, 53 and 582232, that added together give a palindrome (582285).

The spelling of 53582232 in words is "fifty-three million, five hundred eighty-two thousand, two hundred thirty-two".