90031007 has 16 divisors (see below), whose sum is σ = 100078080. Its totient is φ = 80308800.

The previous prime is 90031003. The next prime is 90031009. The reversal of 90031007 is 70013009.

It is not a de Polignac number, because 90031007 - 2² = 90031003 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 90031007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90031003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271832 + ... + 272162.

It is an arithmetic number, because the mean of its divisors is an integer number (6254880).

Almost surely, 2^90031007 is an apocalyptic number.

90031007 is a deficient number, since it is larger than the sum of its proper divisors (10047073).

90031007 is a wasteful number, since it uses less digits than its factorization.

90031007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734.

The product of its (nonzero) digits is 189, while the sum is 20.

The square root of 90031007 is about 9488.4670521639. The cubic root of 90031007 is about 448.1919335307.

The spelling of 90031007 in words is "ninety million, thirty-one thousand, seven".