90145 has 12 divisors (see below), whose sum is σ = 119700. Its totient is φ = 65120.

The previous prime is 90127. The next prime is 90149. The reversal of 90145 is 54109.

It can be written as a sum of positive squares in 2 ways, for example, as 20449 + 69696 = 143^2 + 264^2 .

It is not a de Polignac number, because 90145 - 2⁷ = 90017 is a prime.

It is a super-2 number, since 2×90145² = 16252242050, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (90149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 531 + ... + 679.

It is an arithmetic number, because the mean of its divisors is an integer number (9975).

2⁹⁰¹⁴⁵ is an apocalyptic number.

It is an amenable number.

90145 is a deficient number, since it is larger than the sum of its proper divisors (29555).

90145 is a wasteful number, since it uses less digits than its factorization.

90145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 90145 is about 300.2415694070. The cubic root of 90145 is about 44.8381013556.

It can be divided in two parts, 901 and 45, that added together give a triangular number (946 = T₄₃).

The spelling of 90145 in words is "ninety thousand, one hundred forty-five".