61985853 has 12 divisors (see below), whose sum is σ = 89992188. Its totient is φ = 41112960.

The previous prime is 61985837. The next prime is 61985857. The reversal of 61985853 is 35858916.

61985853 is a `hidden beast` number, since 61 + 9 + 8 + 585 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47032164 + 14953689 = 6858^2 + 3867^2 .

It is not a de Polignac number, because 61985853 - 2⁴ = 61985837 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 61985799 and 61985808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61985857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15708 + ... + 19253.

It is an arithmetic number, because the mean of its divisors is an integer number (7499349).

Almost surely, 2^61985853 is an apocalyptic number.

It is an amenable number.

61985853 is a deficient number, since it is larger than the sum of its proper divisors (28006335).

61985853 is a wasteful number, since it uses less digits than its factorization.

61985853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35164 (or 35161 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 61985853 is about 7873.1094873627. The cubic root of 61985853 is about 395.7590552950.

The spelling of 61985853 in words is "sixty-one million, nine hundred eighty-five thousand, eight hundred fifty-three".