35437 has 2 divisors, whose sum is σ = 35438. Its totient is φ = 35436.

The previous prime is 35423. The next prime is 35447. The reversal of 35437 is 73453.

35437 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34596 + 841 = 186^2 + 29^2 .

It is an emirp because it is prime and its reverse (73453) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-35437 is a prime.

It is a super-3 number, since 3×35437³ = 133503330595359, which contains 333 as substring.

It is a Chen prime.

It is a nialpdrome in base 14 and base 15.

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 35437.

It is not a weakly prime, because it can be changed into another prime (35407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17718 + 17719.

It is an arithmetic number, because the mean of its divisors is an integer number (17719).

2³⁵⁴³⁷ is an apocalyptic number.

It is an amenable number.

35437 is a deficient number, since it is larger than the sum of its proper divisors (1).

35437 is an equidigital number, since it uses as much as digits as its factorization.

35437 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1260, while the sum is 22.

The square root of 35437 is about 188.2471779337. The cubic root of 35437 is about 32.8462390680.

The spelling of 35437 in words is "thirty-five thousand, four hundred thirty-seven".