986088961 has 64 divisors (see below), whose sum is σ = 1328382720. Its totient is φ = 716636160.

The previous prime is 986088953. The next prime is 986088977. The reversal of 986088961 is 169880689.

It is a 4-Lehmer number, since φ(986088961) divides (986088961-1)⁴.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 986088961 - 2³ = 986088953 is a prime.

It is a deceptive number, since it divides R_986088960.

It is not an unprimeable number, because it can be changed into a prime (986088911) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1708705 + ... + 1709281.

It is an arithmetic number, because the mean of its divisors is an integer number (20755980).

It is a Poulet number, since it divides 2^986088960-1.

Almost surely, 2^986088961 is an apocalyptic number.

It is an amenable number.

986088961 is a deficient number, since it is larger than the sum of its proper divisors (342293759).

986088961 is a wasteful number, since it uses less digits than its factorization.

986088961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674.

The product of its (nonzero) digits is 1492992, while the sum is 55.

The square root of 986088961 is about 31402.0534519639. The cubic root of 986088961 is about 995.3413173792.

The spelling of 986088961 in words is "nine hundred eighty-six million, eighty-eight thousand, nine hundred sixty-one".