87882267 has 32 divisors (see below), whose sum is σ = 133436160. Its totient is φ = 50960000.

The previous prime is 87882253. The next prime is 87882281. The reversal of 87882267 is 76228878.

It is an interprime number because it is at equal distance from previous prime (87882253) and next prime (87882281).

It is a cyclic number.

It is not a de Polignac number, because 87882267 - 2⁴ = 87882251 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87882217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125017 + ... + 125717.

It is an arithmetic number, because the mean of its divisors is an integer number (4169880).

Almost surely, 2^87882267 is an apocalyptic number.

87882267 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

87882267 is a deficient number, since it is larger than the sum of its proper divisors (45553893).

87882267 is a wasteful number, since it uses less digits than its factorization.

87882267 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875.

The product of its digits is 602112, while the sum is 48.

The square root of 87882267 is about 9374.5542294021. The cubic root of 87882267 is about 444.5975690966.

The spelling of 87882267 in words is "eighty-seven million, eight hundred eighty-two thousand, two hundred sixty-seven".