61988 has 6 divisors (see below), whose sum is σ = 108486. Its totient is φ = 30992.

The previous prime is 61987. The next prime is 61991. The reversal of 61988 is 88916.

It can be written as a sum of positive squares in only one way, i.e., 61504 + 484 = 248^2 + 22^2 .

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 61988.

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 as a sum of consecutive naturals, namely, 7745 + ... + 7752.

It is an arithmetic number, because the mean of its divisors is an integer number (18081).

2⁶¹⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

61988 is a deficient number, since it is larger than the sum of its proper divisors (46498).

61988 is a wasteful number, since it uses less digits than its factorization.

61988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15501 (or 15499 counting only the distinct ones).

The product of its digits is 3456, while the sum is 32.

The square root of 61988 is about 248.9738942138. The cubic root of 61988 is about 39.5763624536.

It can be divided in two parts, 619 and 88, that added together give a palindrome (707).

The spelling of 61988 in words is "sixty-one thousand, nine hundred eighty-eight".