37649 has 2 divisors, whose sum is σ = 37650. Its totient is φ = 37648.

The previous prime is 37643. The next prime is 37657. The reversal of 37649 is 94673.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37249 + 400 = 193^2 + 20^2 .

It is a cyclic number.

It is not a de Polignac number, because 37649 - 2⁴ = 37633 is a prime.

It is a Chen 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 37649.

It is not a weakly prime, because it can be changed into another prime (37643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18824 + 18825.

It is an arithmetic number, because the mean of its divisors is an integer number (18825).

2³⁷⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

37649 is a deficient number, since it is larger than the sum of its proper divisors (1).

37649 is an equidigital number, since it uses as much as digits as its factorization.

37649 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4536, while the sum is 29.

The square root of 37649 is about 194.0335022619. The cubic root of 37649 is about 33.5159202566.

It can be divided in two parts, 3764 and 9, that added together give a palindrome (3773).

The spelling of 37649 in words is "thirty-seven thousand, six hundred forty-nine".