37949 has 4 divisors (see below), whose sum is σ = 38364. Its totient is φ = 37536.

The previous prime is 37907. The next prime is 37951. The reversal of 37949 is 94973.

It is a happy number.

37949 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 94973 = 73 ⋅1301.

It can be written as a sum of positive squares in 2 ways, for example, as 13924 + 24025 = 118^2 + 155^2 .

It is a cyclic number.

It is not a de Polignac number, because 37949 - 2⁸ = 37693 is a prime.

It is a Duffinian number.

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 37949.

It is not an unprimeable number, because it can be changed into a prime (37049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2 + ... + 275.

It is an arithmetic number, because the mean of its divisors is an integer number (9591).

2³⁷⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

37949 is a deficient number, since it is larger than the sum of its proper divisors (415).

37949 is a wasteful number, since it uses less digits than its factorization.

37949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414.

The product of its digits is 6804, while the sum is 32.

The square root of 37949 is about 194.8050307359. The cubic root of 37949 is about 33.6047069181.

The spelling of 37949 in words is "thirty-seven thousand, nine hundred forty-nine".