87105749 has 2 divisors, whose sum is σ = 87105750. Its totient is φ = 87105748.

The previous prime is 87105727. The next prime is 87105757. The reversal of 87105749 is 94750178.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51940849 + 35164900 = 7207^2 + 5930^2 .

It is a cyclic number.

It is not a de Polignac number, because 87105749 - 2⁸ = 87105493 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (87105049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43552874 + 43552875.

It is an arithmetic number, because the mean of its divisors is an integer number (43552875).

Almost surely, 2^87105749 is an apocalyptic number.

It is an amenable number.

87105749 is a deficient number, since it is larger than the sum of its proper divisors (1).

87105749 is an equidigital number, since it uses as much as digits as its factorization.

87105749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70560, while the sum is 41.

The square root of 87105749 is about 9333.0460729603. The cubic root of 87105749 is about 443.2842216060.

The spelling of 87105749 in words is "eighty-seven million, one hundred five thousand, seven hundred forty-nine".