84107241 has 15 divisors (see below), whose sum is σ = 125765101. Its totient is φ = 56016468.

The previous prime is 84107203. The next prime is 84107249. The reversal of 84107241 is 14270148.

The square root of 84107241 is 9171.

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

84107241 is a `hidden beast` number, since 8 + 410 + 7 + 241 = 666.

It is not a de Polignac number, because 84107241 - 2¹¹ = 84105193 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (84107249) 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, 82030 + ... + 83048.

Almost surely, 2^84107241 is an apocalyptic number.

84107241 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

84107241 is the 9171-st square number.

84107241 is the 4586-th centered octagonal number.

It is an amenable number.

84107241 is a deficient number, since it is larger than the sum of its proper divisors (41657860).

84107241 is an frugal number, since it uses more digits than its factorization.

84107241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 1022 counting only the distinct ones).

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

The cubic root of 84107241 is about 438.1382093395.

Adding to 84107241 its reverse (14270148), we get a palindrome (98377389).

It can be divided in two parts, 84107 and 241, that added together give a palindrome (84348).

The spelling of 84107241 in words is "eighty-four million, one hundred seven thousand, two hundred forty-one".