61332 has 24 divisors (see below), whose sum is σ = 151200. Its totient is φ = 19296.

The previous prime is 61331. The next prime is 61333. The reversal of 61332 is 23316.

It is an interprime number because it is at equal distance from previous prime (61331) and next prime (61333).

It is a super-2 number, since 2×61332² = 7523228448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 61332.

It is not an unprimeable number, because it can be changed into a prime (61331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94 + ... + 362.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2⁶¹³³² 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 61332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600).

61332 is an abundant number, since it is smaller than the sum of its proper divisors (89868).

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

61332 is a wasteful number, since it uses less digits than its factorization.

61332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 293 counting only the distinct ones).

The product of its digits is 108, while the sum is 15.

The square root of 61332 is about 247.6529830226. The cubic root of 61332 is about 39.4362588905.

Adding to 61332 its reverse (23316), we get a palindrome (84648).

It can be divided in two parts, 61 and 332, that added together give a palindrome (393).

The spelling of 61332 in words is "sixty-one thousand, three hundred thirty-two".