981506241 has 25 divisors (see below), whose sum is σ = 1491480001. Its totient is φ = 643247028.

The previous prime is 981506231. The next prime is 981506299. The reversal of 981506241 is 142605189.

The square root of 981506241 is 31329.

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

It is not a de Polignac number, because 981506241 - 2²¹ = 979409089 is a prime.

It is a super-2 number, since 2×981506241² = 1926709002243900162, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 981506196 and 981506205.

It is not an unprimeable number, because it can be changed into a prime (981506231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 16635670 + ... + 16635728.

Almost surely, 2^981506241 is an apocalyptic number.

981506241 is the 31329-th square number.

981506241 is the 15665-th centered octagonal number.

It is an amenable number.

981506241 is a deficient number, since it is larger than the sum of its proper divisors (509973760).

981506241 is an frugal number, since it uses more digits than its factorization.

981506241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The cubic root of 981506241 is about 993.7970162163.

Multiplying 981506241 by its sum of digits (36), we get a square (35334224676 = 187974²).

The spelling of 981506241 in words is "nine hundred eighty-one million, five hundred six thousand, two hundred forty-one".