87961 has 2 divisors, whose sum is σ = 87962. Its totient is φ = 87960.

The previous prime is 87959. The next prime is 87973. The reversal of 87961 is 16978.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47961 + 40000 = 219^2 + 200^2 .

It is a cyclic number.

It is not a de Polignac number, because 87961 - 2¹ = 87959 is a prime.

Together with 87959, it forms a pair of twin primes.

It is a plaindrome in base 16.

It is not a weakly prime, because it can be changed into another prime (87911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43980 + 43981.

It is an arithmetic number, because the mean of its divisors is an integer number (43981).

2⁸⁷⁹⁶¹ is an apocalyptic number.

It is an amenable number.

87961 is a deficient number, since it is larger than the sum of its proper divisors (1).

87961 is an equidigital number, since it uses as much as digits as its factorization.

87961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3024, while the sum is 31.

The square root of 87961 is about 296.5821977125. The cubic root of 87961 is about 44.4730299902.

The spelling of 87961 in words is "eighty-seven thousand, nine hundred sixty-one".