87353000 has 64 divisors (see below), whose sum is σ = 233625600. Its totient is φ = 29947200.

The previous prime is 87352999. The next prime is 87353003. The reversal of 87353000 is 35378.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87353003) 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 15 ways as a sum of consecutive naturals, for example, 761 + ... + 13239.

It is an arithmetic number, because the mean of its divisors is an integer number (3650400).

Almost surely, 2^87353000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116812800).

87353000 is an abundant number, since it is smaller than the sum of its proper divisors (146272600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87353000 is a wasteful number, since it uses less digits than its factorization.

87353000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12507 (or 12493 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 87353000 is about 9346.2826835058. The cubic root of 87353000 is about 443.7032483974.

Adding to 87353000 its reverse (35378), we get a palindrome (87388378).

The spelling of 87353000 in words is "eighty-seven million, three hundred fifty-three thousand".