61132 has 24 divisors (see below), whose sum is σ = 120960. Its totient is φ = 26880.

The previous prime is 61129. The next prime is 61141. The reversal of 61132 is 23116.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1957 + ... + 1987.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁶¹¹³² is an apocalyptic number.

61132 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

61132 is the 124-th decagonal number.

It is an amenable number.

61132 is a deficient number, since it is larger than the sum of its proper divisors (59828).

61132 is a wasteful number, since it uses less digits than its factorization.

61132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 79 counting only the distinct ones).

The product of its digits is 36, while the sum is 13.

The square root of 61132 is about 247.2488624847. The cubic root of 61132 is about 39.3933457803.

Adding to 61132 its reverse (23116), we get a palindrome (84248).

The spelling of 61132 in words is "sixty-one thousand, one hundred thirty-two".