98512 has 20 divisors (see below), whose sum is σ = 196416. Its totient is φ = 47840.

The previous prime is 98507. The next prime is 98519. The reversal of 98512 is 21589.

It is a super-2 number, since 2×98512² = 19409228288, which contains 22 as substring.

Its product of digits (720) is a multiple of the sum of its prime divisors (180).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 687 + ... + 817.

2⁹⁸⁵¹² is an apocalyptic number.

It is an amenable number.

98512 is a deficient number, since it is larger than the sum of its proper divisors (97904).

98512 is a wasteful number, since it uses less digits than its factorization.

98512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its digits is 720, while the sum is 25.

The square root of 98512 is about 313.8662135369. The cubic root of 98512 is about 46.1845140904.

It can be divided in two parts, 98 and 512, that multiplied together give a square (50176 = 224²).

The spelling of 98512 in words is "ninety-eight thousand, five hundred twelve".