290100993 has 32 divisors (see below), whose sum is σ = 480480000. Its totient is φ = 151600896.

The previous prime is 290100991. The next prime is 290101003. The reversal of 290100993 is 399001092.

It is not a de Polignac number, because 290100993 - 2¹ = 290100991 is a prime.

It is a super-2 number, since 2×290100993² = 168317172279172098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (290100991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24883 + ... + 34631.

It is an arithmetic number, because the mean of its divisors is an integer number (15015000).

Almost surely, 2^290100993 is an apocalyptic number.

It is an amenable number.

290100993 is a deficient number, since it is larger than the sum of its proper divisors (190379007).

290100993 is a wasteful number, since it uses less digits than its factorization.

290100993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9881.

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 290100993 is about 17032.3513643889. The cubic root of 290100993 is about 661.9874230534.

The spelling of 290100993 in words is "two hundred ninety million, one hundred thousand, nine hundred ninety-three".