61887 has 12 divisors (see below), whose sum is σ = 96216. Its totient is φ = 35280.

The previous prime is 61879. The next prime is 61909. The reversal of 61887 is 78816.

It is not a de Polignac number, because 61887 - 2³ = 61879 is a prime.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 61887.

It is not an unprimeable number, because it can be changed into a prime (61837) 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, 64 + ... + 357.

It is an arithmetic number, because the mean of its divisors is an integer number (8018).

2⁶¹⁸⁸⁷ is an apocalyptic number.

61887 is a deficient number, since it is larger than the sum of its proper divisors (34329).

61887 is a wasteful number, since it uses less digits than its factorization.

61887 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 431 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 61887 is about 248.7709790148. The cubic root of 61887 is about 39.5548562184.

The spelling of 61887 in words is "sixty-one thousand, eight hundred eighty-seven".