87783417 has 12 divisors (see below), whose sum is σ = 126986340. Its totient is φ = 58435488.

The previous prime is 87783403. The next prime is 87783431. The reversal of 87783417 is 71438778.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87783403) and next prime (87783431).

It can be written as a sum of positive squares in 2 ways, for example, as 7160976 + 80622441 = 2676^2 + 8979^2 .

It is not a de Polignac number, because 87783417 - 2¹⁶ = 87717881 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (87781417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 498 + ... + 13259.

It is an arithmetic number, because the mean of its divisors is an integer number (10582195).

Almost surely, 2^87783417 is an apocalyptic number.

It is an amenable number.

87783417 is a deficient number, since it is larger than the sum of its proper divisors (39202923).

87783417 is a wasteful number, since it uses less digits than its factorization.

87783417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14472 (or 14469 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The square root of 87783417 is about 9369.2804953209. The cubic root of 87783417 is about 444.4308120657.

The spelling of 87783417 in words is "eighty-seven million, seven hundred eighty-three thousand, four hundred seventeen".