90385361 has 16 divisors (see below), whose sum is σ = 102005568. Its totient is φ = 79372800.

The previous prime is 90385349. The next prime is 90385369. The reversal of 90385361 is 16358309.

It is a cyclic number.

It is not a de Polignac number, because 90385361 - 2¹⁴ = 90368977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90385369) 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, 47321 + ... + 49193.

It is an arithmetic number, because the mean of its divisors is an integer number (6375348).

Almost surely, 2^90385361 is an apocalyptic number.

It is an amenable number.

90385361 is a deficient number, since it is larger than the sum of its proper divisors (11620207).

90385361 is a wasteful number, since it uses less digits than its factorization.

90385361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032.

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 90385361 is about 9507.1215938369. The cubic root of 90385361 is about 448.7791782250.

The spelling of 90385361 in words is "ninety million, three hundred eighty-five thousand, three hundred sixty-one".