61985 has 24 divisors (see below), whose sum is σ = 98496. Its totient is φ = 36960.

The previous prime is 61981. The next prime is 61987. The reversal of 61985 is 58916.

61985 = 70² + 71² + ... + 80².

It is not a de Polignac number, because 61985 - 2² = 61981 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (61981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2684 + ... + 2706.

It is an arithmetic number, because the mean of its divisors is an integer number (4104).

2⁶¹⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

61985 is a deficient number, since it is larger than the sum of its proper divisors (36511).

61985 is a wasteful number, since it uses less digits than its factorization.

61985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 46 counting only the distinct ones).

The product of its digits is 2160, while the sum is 29.

The square root of 61985 is about 248.9678694129. The cubic root of 61985 is about 39.5757239913.

It can be divided in two parts, 6 and 1985, that added together give a palindrome (1991).

The spelling of 61985 in words is "sixty-one thousand, nine hundred eighty-five".