90582961 has 16 divisors (see below), whose sum is σ = 107947008. Its totient is φ = 74376000.

The previous prime is 90582949. The next prime is 90582967. The reversal of 90582961 is 16928509.

It is a cyclic number.

It is not a de Polignac number, because 90582961 - 2⁹ = 90582449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90582967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19851 + ... + 23983.

It is an arithmetic number, because the mean of its divisors is an integer number (6746688).

Almost surely, 2^90582961 is an apocalyptic number.

It is an amenable number.

90582961 is a deficient number, since it is larger than the sum of its proper divisors (17364047).

90582961 is a wasteful number, since it uses less digits than its factorization.

90582961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272.

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 90582961 is about 9517.5081297575. The cubic root of 90582961 is about 449.1059797483.

The spelling of 90582961 in words is "ninety million, five hundred eighty-two thousand, nine hundred sixty-one".