87501249 has 32 divisors (see below), whose sum is σ = 142865280. Its totient is φ = 52488000.

The previous prime is 87501233. The next prime is 87501277. The reversal of 87501249 is 94210578.

It is not a de Polignac number, because 87501249 - 2⁴ = 87501233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87501229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28539 + ... + 31455.

It is an arithmetic number, because the mean of its divisors is an integer number (4464540).

Almost surely, 2^87501249 is an apocalyptic number.

It is an amenable number.

87501249 is a deficient number, since it is larger than the sum of its proper divisors (55364031).

87501249 is a wasteful number, since it uses less digits than its factorization.

87501249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 87501249 is about 9354.2102285548. The cubic root of 87501249 is about 443.9541132272.

It can be divided in two parts, 8750 and 1249, that added together give a palindrome (9999).

The spelling of 87501249 in words is "eighty-seven million, five hundred one thousand, two hundred forty-nine".