90051 has 8 divisors (see below), whose sum is σ = 129360. Its totient is φ = 55392.

The previous prime is 90031. The next prime is 90053. The reversal of 90051 is 15009.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 90051 - 2^{5} = 90019 is a prime.

It is a self number, because there is not a number *n* which added to its sum of digits gives 90051.

It is not an unprimeable number, because it can be changed into a prime (90053) 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 7 ways as a sum of consecutive naturals, for example, 1116 + ... + 1193.

It is an arithmetic number, because the mean of its divisors is an integer number (16170).

2^{90051} is an apocalyptic number.

90051 is a deficient number, since it is larger than the sum of its proper divisors (39309).

90051 is a wasteful number, since it uses less digits than its factorization.

90051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 90051 is about 300.0849879617. The cubic root of 90051 is about 44.8225107428.

The spelling of 90051 in words is "ninety thousand, fifty-one".

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