98208461 has 8 divisors (see below), whose sum is σ = 106811544. Its totient is φ = 89755200.

The previous prime is 98208457. The next prime is 98208463. The reversal of 98208461 is 16480289.

98208461 = 1931² + 1932² + ... + 1956².

It can be written as a sum of positive squares in 4 ways, for example, as 3632836 + 94575625 = 1906^2 + 9725^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 98208461 - 2² = 98208457 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98208463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36086 + ... + 38711.

It is an arithmetic number, because the mean of its divisors is an integer number (13351443).

Almost surely, 2^98208461 is an apocalyptic number.

It is an amenable number.

98208461 is a deficient number, since it is larger than the sum of its proper divisors (8603083).

98208461 is a wasteful number, since it uses less digits than its factorization.

98208461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74911.

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 98208461 is about 9910.0182139086. The cubic root of 98208461 is about 461.3703011439.

It can be divided in two parts, 9820 and 8461, that added together give a palindrome (18281).

The spelling of 98208461 in words is "ninety-eight million, two hundred eight thousand, four hundred sixty-one".