87441201 has 15 divisors (see below), whose sum is σ = 130747881. Its totient is φ = 58238028.

The previous prime is 87441181. The next prime is 87441203. The reversal of 87441201 is 10214478.

The square root of 87441201 is 9351.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 87441201 - 2⁵ = 87441169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (87441203) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 83640 + ... + 84678.

Almost surely, 2^87441201 is an apocalyptic number.

87441201 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

87441201 is the 9351-st square number.

87441201 is the 4676-th centered octagonal number.

It is an amenable number.

87441201 is a deficient number, since it is larger than the sum of its proper divisors (43306680).

87441201 is an frugal number, since it uses more digits than its factorization.

87441201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The cubic root of 87441201 is about 443.8525350311.

Adding to 87441201 its reverse (10214478), we get a palindrome (97655679).

The spelling of 87441201 in words is "eighty-seven million, four hundred forty-one thousand, two hundred one".