61782 has 16 divisors (see below), whose sum is σ = 141312. Its totient is φ = 17640.

The previous prime is 61781. The next prime is 61813. The reversal of 61782 is 28716.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61781) 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, 694 + ... + 777.

It is an arithmetic number, because the mean of its divisors is an integer number (8832).

2⁶¹⁷⁸² is an apocalyptic number.

61782 is an abundant number, since it is smaller than the sum of its proper divisors (79530).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70656).

61782 is a wasteful number, since it uses less digits than its factorization.

61782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483.

The product of its digits is 672, while the sum is 24.

The square root of 61782 is about 248.5598519472. The cubic root of 61782 is about 39.5324734294.

The spelling of 61782 in words is "sixty-one thousand, seven hundred eighty-two".