986148409 has 9 divisors (see below), whose sum is σ = 1019992719. Its totient is φ = 953395080.

The previous prime is 986148353. The next prime is 986148419. The reversal of 986148409 is 904841689.

The square root of 986148409 is 31403.

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

It can be written as a sum of positive squares in only one way, i.e., 1946025 + 984202384 = 1395^2 + 31372^2 .

It is not a de Polignac number, because 986148409 - 2¹³ = 986140217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (986148419) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 972987 + ... + 973999.

Almost surely, 2^986148409 is an apocalyptic number.

986148409 is the 31403-rd square number.

986148409 is the 15702-nd centered octagonal number.

It is an amenable number.

986148409 is a deficient number, since it is larger than the sum of its proper divisors (33844310).

986148409 is an frugal number, since it uses more digits than its factorization.

986148409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The cubic root of 986148409 is about 995.3613189085.

Multiplying 986148409 by its sum of digits (49), we get a square (48321272041 = 219821²).

The spelling of 986148409 in words is "nine hundred eighty-six million, one hundred forty-eight thousand, four hundred nine".