37409 has 2 divisors, whose sum is σ = 37410. Its totient is φ = 37408.

The previous prime is 37397. The next prime is 37423. The reversal of 37409 is 90473.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21025 + 16384 = 145^2 + 128^2 .

It is an emirp because it is prime and its reverse (90473) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-37409 is a prime.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37409.

It is not a weakly prime, because it can be changed into another prime (37489) 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 as a sum of consecutive naturals, namely, 18704 + 18705.

It is an arithmetic number, because the mean of its divisors is an integer number (18705).

2³⁷⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

37409 is a deficient number, since it is larger than the sum of its proper divisors (1).

37409 is an equidigital number, since it uses as much as digits as its factorization.

37409 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 37409 is about 193.4140636045. The cubic root of 37409 is about 33.4445507302. Note that the first 3 decimals are identical.

The spelling of 37409 in words is "thirty-seven thousand, four hundred nine".