87241 has 12 divisors (see below), whose sum is σ = 110656. Its totient is φ = 67320.

The previous prime is 87223. The next prime is 87251. The reversal of 87241 is 14278.

87241 = 84² + 85² + ... + 94².

It is not a de Polignac number, because 87241 - 2⁹ = 86729 is a prime.

It is a super-2 number, since 2×87241² = 15221984162, which contains 22 as substring.

87241 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 796 + ... + 898.

2⁸⁷²⁴¹ is an apocalyptic number.

It is an amenable number.

87241 is a deficient number, since it is larger than the sum of its proper divisors (23415).

87241 is a wasteful number, since it uses less digits than its factorization.

87241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 121 counting only the distinct ones).

The product of its digits is 448, while the sum is 22.

The square root of 87241 is about 295.3658748061. The cubic root of 87241 is about 44.3513535326.

The spelling of 87241 in words is "eighty-seven thousand, two hundred forty-one".