87973 has 2 divisors, whose sum is σ = 87974. Its totient is φ = 87972.

The previous prime is 87961. The next prime is 87977. The reversal of 87973 is 37978.

87973 is nontrivially palindromic in base 11.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56644 + 31329 = 238^2 + 177^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-87973 is a prime.

87973 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (87977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43986 + 43987.

It is an arithmetic number, because the mean of its divisors is an integer number (43987).

2⁸⁷⁹⁷³ is an apocalyptic number.

It is an amenable number.

87973 is a deficient number, since it is larger than the sum of its proper divisors (1).

87973 is an equidigital number, since it uses as much as digits as its factorization.

87973 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10584, while the sum is 34.

The square root of 87973 is about 296.6024275019. The cubic root of 87973 is about 44.4750522959.

The spelling of 87973 in words is "eighty-seven thousand, nine hundred seventy-three".