90351 has 6 divisors (see below), whose sum is σ = 130520. Its totient is φ = 60228.

The previous prime is 90313. The next prime is 90353. The reversal of 90351 is 15309.

It is not a de Polignac number, because 90351 - 2⁹ = 89839 is a prime.

It is a Duffinian number.

90351 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90351.

It is not an unprimeable number, because it can be changed into a prime (90353) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5011 + ... + 5028.

2⁹⁰³⁵¹ is an apocalyptic number.

90351 is a deficient number, since it is larger than the sum of its proper divisors (40169).

90351 is a wasteful number, since it uses less digits than its factorization.

90351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10045 (or 10042 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 90351 is about 300.5844307345. The cubic root of 90351 is about 44.8722301552.

It can be divided in two parts, 90 and 351, that added together give a square (441 = 21²).

The spelling of 90351 in words is "ninety thousand, three hundred fifty-one".