90437 has 2 divisors, whose sum is σ = 90438. Its totient is φ = 90436.

The previous prime is 90407. The next prime is 90439. The reversal of 90437 is 73409.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64516 + 25921 = 254^2 + 161^2 .

It is a cyclic number.

It is not a de Polignac number, because 90437 - 2⁶ = 90373 is a prime.

Together with 90439, it forms a pair of twin primes.

It is a Chen prime.

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 90437.

It is not a weakly prime, because it can be changed into another prime (90439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45218 + 45219.

It is an arithmetic number, because the mean of its divisors is an integer number (45219).

2⁹⁰⁴³⁷ is an apocalyptic number.

It is an amenable number.

90437 is a deficient number, since it is larger than the sum of its proper divisors (1).

90437 is an equidigital number, since it uses as much as digits as its factorization.

90437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 90437 is about 300.7274513575. The cubic root of 90437 is about 44.8864627520.

The spelling of 90437 in words is "ninety thousand, four hundred thirty-seven".