90839961 has 21 divisors (see below), whose sum is σ = 136584559. Its totient is φ = 60388416.

The previous prime is 90839953. The next prime is 90840017. The reversal of 90839961 is 16993809.

The square root of 90839961 is 9531.

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., 36905625 + 53934336 = 6075^2 + 7344^2 .

It is not a de Polignac number, because 90839961 - 2³ = 90839953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90839911) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 257161 + ... + 257513.

Almost surely, 2^90839961 is an apocalyptic number.

90839961 is the 9531-st square number.

90839961 is the 4766-th centered octagonal number.

It is an amenable number.

90839961 is a deficient number, since it is larger than the sum of its proper divisors (45744598).

90839961 is an frugal number, since it uses more digits than its factorization.

90839961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The cubic root of 90839961 is about 449.5303099289.

Multiplying 90839961 by its product of nonzero digits (104976), we get a square (9536015745936 = 3088044²).

It can be divided in two parts, 9083 and 9961, that added together give a square (19044 = 138²).

The spelling of 90839961 in words is "ninety million, eight hundred thirty-nine thousand, nine hundred sixty-one".