87306241 has 16 divisors (see below), whose sum is σ = 96966720. Its totient is φ = 77946880.

The previous prime is 87306239. The next prime is 87306251. The reversal of 87306241 is 14260378.

87306241 = 128² + 129² + ... + 641².

It is not a de Polignac number, because 87306241 - 2¹ = 87306239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87306221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251430 + ... + 251776.

It is an arithmetic number, because the mean of its divisors is an integer number (6060420).

Almost surely, 2^87306241 is an apocalyptic number.

It is an amenable number.

87306241 is a deficient number, since it is larger than the sum of its proper divisors (9660479).

87306241 is a wasteful number, since it uses less digits than its factorization.

87306241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704.

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 87306241 is about 9343.7808728587. The cubic root of 87306241 is about 443.6240646136.

The spelling of 87306241 in words is "eighty-seven million, three hundred six thousand, two hundred forty-one".