87249 has 8 divisors (see below), whose sum is σ = 117760. Its totient is φ = 57456.

The previous prime is 87223. The next prime is 87251. The reversal of 87249 is 94278.

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

It is not a de Polignac number, because 87249 - 2⁷ = 87121 is a prime.

It is a super-2 number, since 2×87249² = 15224776002, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87299) 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, 267 + ... + 495.

It is an arithmetic number, because the mean of its divisors is an integer number (14720).

It is a Poulet number, since it divides 2⁸⁷²⁴⁸-1.

2⁸⁷²⁴⁹ is an apocalyptic number.

It is an amenable number.

87249 is a deficient number, since it is larger than the sum of its proper divisors (30511).

87249 is a wasteful number, since it uses less digits than its factorization.

87249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359.

The product of its digits is 4032, while the sum is 30.

The square root of 87249 is about 295.3794170216. The cubic root of 87249 is about 44.3527091643.

The spelling of 87249 in words is "eighty-seven thousand, two hundred forty-nine".