86788953 has 12 divisors (see below), whose sum is σ = 125766420. Its totient is φ = 57672576.

The previous prime is 86788943. The next prime is 86788963. The reversal of 86788953 is 35988768.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86788943) and next prime (86788963).

It can be written as a sum of positive squares in 2 ways, for example, as 29680704 + 57108249 = 5448^2 + 7557^2 .

It is not a de Polignac number, because 86788953 - 2⁹ = 86788441 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 86788953.

It is not an unprimeable number, because it can be changed into a prime (86788943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12588 + ... + 18221.

It is an arithmetic number, because the mean of its divisors is an integer number (10480535).

Almost surely, 2^86788953 is an apocalyptic number.

It is an amenable number.

86788953 is a deficient number, since it is larger than the sum of its proper divisors (38977467).

86788953 is a wasteful number, since it uses less digits than its factorization.

86788953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31128 (or 31125 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 86788953 is about 9316.0588770145. The cubic root of 86788953 is about 442.7461734695.

The spelling of 86788953 in words is "eighty-six million, seven hundred eighty-eight thousand, nine hundred fifty-three".