90149 has 2 divisors, whose sum is σ = 90150. Its totient is φ = 90148.

The previous prime is 90127. The next prime is 90163. The reversal of 90149 is 94109.

90149 is nontrivially palindromic in base 4.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52900 + 37249 = 230^2 + 193^2 .

It is an emirp because it is prime and its reverse (94109) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-90149 is a prime.

It is a Chen prime.

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

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 90149.

It is not a weakly prime, because it can be changed into another prime (90199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45074 + 45075.

It is an arithmetic number, because the mean of its divisors is an integer number (45075).

2⁹⁰¹⁴⁹ is an apocalyptic number.

It is an amenable number.

90149 is a deficient number, since it is larger than the sum of its proper divisors (1).

90149 is an equidigital number, since it uses as much as digits as its factorization.

90149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 90149 is about 300.2482306359. The cubic root of 90149 is about 44.8387645455.

The spelling of 90149 in words is "ninety thousand, one hundred forty-nine".