87085267 has 8 divisors (see below), whose sum is σ = 88375536. Its totient is φ = 85804032.

The previous prime is 87085261. The next prime is 87085321. The reversal of 87085267 is 76258078.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 87085267 - 2⁷ = 87085139 is a prime.

It is a super-2 number, since 2×87085267² = 15167687456922578, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87085261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18543 + ... + 22759.

It is an arithmetic number, because the mean of its divisors is an integer number (11046942).

Almost surely, 2^87085267 is an apocalyptic number.

87085267 is a deficient number, since it is larger than the sum of its proper divisors (1290269).

87085267 is a wasteful number, since it uses less digits than its factorization.

87085267 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4517.

The product of its (nonzero) digits is 188160, while the sum is 43.

The square root of 87085267 is about 9331.9487246770. The cubic root of 87085267 is about 443.2494743428.

It can be divided in two parts, 870 and 85267, that multiplied together give a triangular number (74182290 = T₁₂₁₈₀).

The spelling of 87085267 in words is "eighty-seven million, eighty-five thousand, two hundred sixty-seven".